13312817490825 has 288 divisors, whose sum is σ = 27686119403520. Its totient is φ = 6255869875200.

The previous prime is 13312817490811. The next prime is 13312817490827. The reversal of 13312817490825 is 52809471821331.

13312817490825 is a `hidden beast` number, since 1 + 3 + 3 + 128 + 1 + 7 + 490 + 8 + 25 = 666.

It is not a de Polignac number, because 13312817490825 - 2⁶ = 13312817490761 is a prime.

It is a super-2 number, since 2×13312817490825² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13312817490827) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 210844510 + ... + 210907640.

It is an arithmetic number, because the mean of its divisors is an integer number (96132359040).

Almost surely, 2^{13312817490825} is an apocalyptic number.

13312817490825 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13312817490825 is an abundant number, since it is smaller than the sum of its proper divisors (14373301912695).

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

13312817490825 is a wasteful number, since it uses less digits than its factorization.

13312817490825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63254 (or 63226 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 13312817490825 in words is "thirteen trillion, three hundred twelve billion, eight hundred seventeen million, four hundred ninety thousand, eight hundred twenty-five".