13024580257152 has 128 divisors (see below), whose sum is σ = 39014342467200. Its totient is φ = 4276727769600.

The previous prime is 13024580257109. The next prime is 13024580257153. The reversal of 13024580257152 is 25175208542031.

13024580257152 is a `hidden beast` number, since 1 + 3 + 0 + 2 + 4 + 580 + 2 + 57 + 15 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×13024580257152² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13024580257098 and 13024580257107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13024580257153) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27892974 + ... + 28356077.

It is an arithmetic number, because the mean of its divisors is an integer number (304799550525).

Almost surely, 2^{13024580257152} is an apocalyptic number.

13024580257152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13024580257152 is an abundant number, since it is smaller than the sum of its proper divisors (25989762210048).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13024580257152 is an equidigital number, since it uses as much as digits as its factorization.

13024580257152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56249141 (or 56249123 counting only the distinct ones).

The product of its (nonzero) digits is 672000, while the sum is 45.

Adding to 13024580257152 its reverse (25175208542031), we get a palindrome (38199788799183).

The spelling of 13024580257152 in words is "thirteen trillion, twenty-four billion, five hundred eighty million, two hundred fifty-seven thousand, one hundred fifty-two".