513265896 has 320 divisors, whose sum is σ = 1756339200. Its totient is φ = 137894400.

The previous prime is 513265871. The next prime is 513265903. The reversal of 513265896 is 698562315.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2687161 + ... + 2687351.

It is an arithmetic number, because the mean of its divisors is an integer number (5488560).

Almost surely, 2^513265896 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 513265896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (878169600).

513265896 is an abundant number, since it is smaller than the sum of its proper divisors (1243073304).

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

513265896 is a wasteful number, since it uses less digits than its factorization.

513265896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 249 counting only the distinct ones).

The product of its digits is 388800, while the sum is 45.

The square root of 513265896 is about 22655.3723430007. The cubic root of 513265896 is about 800.6587781985.

The spelling of 513265896 in words is "five hundred thirteen million, two hundred sixty-five thousand, eight hundred ninety-six".