513814172025 has 48 divisors (see below), whose sum is σ = 1059124497408. Its totient is φ = 213533160000.

The previous prime is 513814172017. The next prime is 513814172077. The reversal of 513814172025 is 520271418315.

It is not a de Polignac number, because 513814172025 - 2³ = 513814172017 is a prime.

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, 44480301 + ... + 44491850.

It is an arithmetic number, because the mean of its divisors is an integer number (22065093696).

Almost surely, 2^513814172025 is an apocalyptic number.

513814172025 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

513814172025 is an abundant number, since it is smaller than the sum of its proper divisors (545310325383).

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

513814172025 is a wasteful number, since it uses less digits than its factorization.

513814172025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88972182 (or 88972177 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 39.

The spelling of 513814172025 in words is "five hundred thirteen billion, eight hundred fourteen million, one hundred seventy-two thousand, twenty-five".