513402373008 has 80 divisors (see below), whose sum is σ = 1684177106560. Its totient is φ = 146686391424.

The previous prime is 513402372991. The next prime is 513402373009. The reversal of 513402373008 is 800373204315.

513402373008 is a `hidden beast` number, since 5 + 1 + 340 + 2 + 3 + 7 + 300 + 8 = 666.

It is a super-2 number, since 2×513402373008² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (513402373009) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 84884935 + ... + 84890982.

It is an arithmetic number, because the mean of its divisors is an integer number (21052213832).

Almost surely, 2^513402373008 is an apocalyptic number.

It is an amenable number.

513402373008 is an abundant number, since it is smaller than the sum of its proper divisors (1170774733552).

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

513402373008 is a wasteful number, since it uses less digits than its factorization.

513402373008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169775941 (or 169775929 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 513402373008 in words is "five hundred thirteen billion, four hundred two million, three hundred seventy-three thousand, eight".