Search a number
-
+
5205135225 = 3521731313043
BaseRepresentation
bin1001101100100000…
…00000111101111001
3111102202101021012010
410312100000331321
541130003311400
62220300040133
7242662630233
oct46620007571
914382337163
105205135225
112231188154
121013233049
1364c4c3394
1437541d253
15206e77450
hex136400f79

5205135225 has 48 divisors (see below), whose sum is σ = 9141861312. Its totient is φ = 2604226560.

The previous prime is 5205135217. The next prime is 5205135233. The reversal of 5205135225 is 5225315025.

It is an interprime number because it is at equal distance from previous prime (5205135217) and next prime (5205135233).

It is not a de Polignac number, because 5205135225 - 23 = 5205135217 is a prime.

It is a super-3 number, since 3×52051352253 (a number of 30 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 5205135192 and 5205135201.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 392554 + ... + 405596.

It is an arithmetic number, because the mean of its divisors is an integer number (190455444).

Almost surely, 25205135225 is an apocalyptic number.

It is an amenable number.

5205135225 is a deficient number, since it is larger than the sum of its proper divisors (3936726087).

5205135225 is a wasteful number, since it uses less digits than its factorization.

5205135225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13386 (or 13381 counting only the distinct ones).

The product of its (nonzero) digits is 15000, while the sum is 30.

The square root of 5205135225 is about 72146.6231018473. The cubic root of 5205135225 is about 1733.0483221184.

The spelling of 5205135225 in words is "five billion, two hundred five million, one hundred thirty-five thousand, two hundred twenty-five".

Divisors: 1 3 5 15 17 25 51 75 85 255 313 425 939 1275 1565 4695 5321 7825 13043 15963 23475 26605 39129 65215 79815 133025 195645 221731 326075 399075 665193 978225 1108655 3325965 4082459 5543275 12247377 16629825 20412295 61236885 69401803 102061475 208205409 306184425 347009015 1041027045 1735045075 5205135225