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130205258325 = 345264298893
BaseRepresentation
bin111100101000011010…
…1101001001001010101
3110110002020011110010000
41321100311221021111
54113130021231300
6135452050321513
712256415302062
oct1712065511125
9413066143100
10130205258325
115024652380a
1221299589299
13c38058036c
146432859c69
1535c0daac00
hex1e50d69255

130205258325 has 30 divisors (see below), whose sum is σ = 241185151394. Its totient is φ = 69442803360.

The previous prime is 130205258321. The next prime is 130205258357. The reversal of 130205258325 is 523852502031.

130205258325 is a `hidden beast` number, since 1 + 3 + 0 + 2 + 0 + 52 + 583 + 25 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 15946385841 + 114258872484 = 126279^2 + 338022^2 .

It is not a de Polignac number, because 130205258325 - 22 = 130205258321 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 130205258325.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130205258321) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 32147422 + ... + 32151471.

Almost surely, 2130205258325 is an apocalyptic number.

130205258325 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

130205258325 is a deficient number, since it is larger than the sum of its proper divisors (110979893069).

130205258325 is an equidigital number, since it uses as much as digits as its factorization.

130205258325 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64298915 (or 64298901 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 130205258325 in words is "one hundred thirty billion, two hundred five million, two hundred fifty-eight thousand, three hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 81 135 225 405 675 2025 64298893 192896679 321494465 578690037 964483395 1607472325 1736070111 2893450185 4822416975 5208210333 8680350555 14467250925 26041051665 43401752775 130205258325