513952992 has 96 divisors (see below), whose sum is σ = 1713196800. Its totient is φ = 146841984.

The previous prime is 513952981. The next prime is 513952997. The reversal of 513952992 is 299259315.

513952992 is a `hidden beast` number, since 5 + 1 + 39 + 529 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513952997) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36442 + ... + 48537.

It is an arithmetic number, because the mean of its divisors is an integer number (17845800).

Almost surely, 2^513952992 is an apocalyptic number.

It is an amenable number.

513952992 is an abundant number, since it is smaller than the sum of its proper divisors (1199243808).

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

513952992 is a wasteful number, since it uses less digits than its factorization.

513952992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85005 (or 84991 counting only the distinct ones).

The product of its digits is 218700, while the sum is 45.

The square root of 513952992 is about 22670.5313568077. The cubic root of 513952992 is about 801.0158927397.

The spelling of 513952992 in words is "five hundred thirteen million, nine hundred fifty-two thousand, nine hundred ninety-two".