513036923904 has 440 divisors, whose sum is σ = 1581328919808. Its totient is φ = 165589401600.

The previous prime is 513036923887. The next prime is 513036923939. The reversal of 513036923904 is 409329630315.

513036923904 is a `hidden beast` number, since 51 + 3 + 0 + 369 + 239 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 513036923904.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 393734517 + ... + 393735819.

Almost surely, 2^513036923904 is an apocalyptic number.

513036923904 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 513036923904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (790664459904).

513036923904 is an abundant number, since it is smaller than the sum of its proper divisors (1068291995904).

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

513036923904 is a wasteful number, since it uses less digits than its factorization.

513036923904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1483 (or 1456 counting only the distinct ones).

The product of its (nonzero) digits is 524880, while the sum is 45.

The spelling of 513036923904 in words is "five hundred thirteen billion, thirty-six million, nine hundred twenty-three thousand, nine hundred four".