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3205253025 = 345213313389
BaseRepresentation
bin1011111100001100…
…0100011110100001
322021101020201120000
42333003010132201
523031021044100
61250015410213
7142300126002
oct27703043641
98241221500
103205253025
1113a5311047
12755523969
133c108a830
142259951a9
1513b5d9900
hexbf0c47a1

3205253025 has 120 divisors (see below), whose sum is σ = 6430864440. Its totient is φ = 1568885760.

The previous prime is 3205253011. The next prime is 3205253047. The reversal of 3205253025 is 5203525023.

3205253025 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 2830133601 + 375119424 = 53199^2 + 19368^2 .

It is not a de Polignac number, because 3205253025 - 25 = 3205252993 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 3205253025.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 8239531 + ... + 8239919.

It is an arithmetic number, because the mean of its divisors is an integer number (53590537).

Almost surely, 23205253025 is an apocalyptic number.

It is an amenable number.

3205253025 is an abundant number, since it is smaller than the sum of its proper divisors (3225611415).

3205253025 is a wasteful number, since it uses less digits than its factorization.

3205253025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 737 (or 723 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 27.

The square root of 3205253025 is about 56614.9540757563. The cubic root of 3205253025 is about 1474.4185048652.

Adding to 3205253025 its reverse (5203525023), we get a palindrome (8408778048).

The spelling of 3205253025 in words is "three billion, two hundred five million, two hundred fifty-three thousand, twenty-five".

Divisors: 1 3 5 9 13 15 25 27 39 45 65 75 81 117 135 195 225 313 325 351 389 405 585 675 939 975 1053 1167 1565 1755 1945 2025 2817 2925 3501 4069 4695 5057 5265 5835 7825 8451 8775 9725 10503 12207 14085 15171 17505 20345 23475 25285 25353 26325 29175 31509 36621 42255 45513 52515 61035 70425 75855 87525 101725 109863 121757 126425 126765 136539 157545 183105 211275 227565 262575 305175 329589 365271 379275 409617 549315 608785 633825 682695 787725 915525 1095813 1137825 1582841 1647945 1826355 2048085 2746575 3043925 3287439 3413475 4748523 5479065 7914205 8239725 9131775 9862317 10240425 14245569 16437195 23742615 27395325 39571025 42736707 49311585 71227845 82185975 118713075 128210121 213683535 246557925 356139225 641050605 1068417675 3205253025