513360252160 has 864 divisors, whose sum is σ = 1569988224000. Its totient is φ = 160619397120.

The previous prime is 513360252143. The next prime is 513360252173. The reversal of 513360252160 is 61252063315.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6498231001 + ... + 6498231079.

It is an arithmetic number, because the mean of its divisors is an integer number (1817116000).

Almost surely, 2^513360252160 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 513360252160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (784994112000).

513360252160 is an abundant number, since it is smaller than the sum of its proper divisors (1056627971840).

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

513360252160 is an equidigital number, since it uses as much as digits as its factorization.

513360252160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 34.

The spelling of 513360252160 in words is "five hundred thirteen billion, three hundred sixty million, two hundred fifty-two thousand, one hundred sixty".