513253160 has 128 divisors (see below), whose sum is σ = 1380741120. Its totient is φ = 168037632.

The previous prime is 513253157. The next prime is 513253189. The reversal of 513253160 is 61352315.

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 31 ways as a sum of consecutive naturals, for example, 565427 + ... + 566333.

It is an arithmetic number, because the mean of its divisors is an integer number (10787040).

Almost surely, 2^513253160 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 513253160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (690370560).

513253160 is an abundant number, since it is smaller than the sum of its proper divisors (867487960).

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

513253160 is a wasteful number, since it uses less digits than its factorization.

513253160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1015 (or 1011 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 26.

The square root of 513253160 is about 22655.0912600237. The cubic root of 513253160 is about 800.6521557217.

The spelling of 513253160 in words is "five hundred thirteen million, two hundred fifty-three thousand, one hundred sixty".