513376864 has 288 divisors, whose sum is σ = 1441456128. Its totient is φ = 174873600.

The previous prime is 513376783. The next prime is 513376873. The reversal of 513376864 is 468673315.

It is a self number, because there is not a number n which added to its sum of digits gives 513376864.

It is a congruent number.

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, 10922889 + ... + 10922935.

It is an arithmetic number, because the mean of its divisors is an integer number (5005056).

Almost surely, 2^513376864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 513376864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (720728064).

513376864 is an abundant number, since it is smaller than the sum of its proper divisors (928079264).

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

513376864 is a wasteful number, since it uses less digits than its factorization.

513376864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 111 counting only the distinct ones).

The product of its digits is 362880, while the sum is 43.

The square root of 513376864 is about 22657.8212544808. The cubic root of 513376864 is about 800.7164748049.

The spelling of 513376864 in words is "five hundred thirteen million, three hundred seventy-six thousand, eight hundred sixty-four".