513908527104 has 416 divisors, whose sum is σ = 1831638656000. Its totient is φ = 139099078656.

The previous prime is 513908527043. The next prime is 513908527177. The reversal of 513908527104 is 401725809315.

513908527104 is a `hidden beast` number, since 5 + 13 + 9 + 0 + 8 + 527 + 104 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 513908527104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14691267 + ... + 14726205.

Almost surely, 2^513908527104 is an apocalyptic number.

513908527104 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 513908527104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (915819328000).

513908527104 is an abundant number, since it is smaller than the sum of its proper divisors (1317730128896).

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

513908527104 is a wasteful number, since it uses less digits than its factorization.

513908527104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34998 (or 34970 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 513908527104 in words is "five hundred thirteen billion, nine hundred eight million, five hundred twenty-seven thousand, one hundred four".