513564240 has 160 divisors (see below), whose sum is σ = 1898735616. Its totient is φ = 112273920.

The previous prime is 513564239. The next prime is 513564301. The reversal of 513564240 is 42465315.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 513564198 and 513564207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31995 + ... + 45285.

Almost surely, 2^513564240 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 513564240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (949367808).

513564240 is an abundant number, since it is smaller than the sum of its proper divisors (1385171376).

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

513564240 is a wasteful number, since it uses less digits than its factorization.

513564240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13337 (or 13331 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 513564240 is about 22661.9557849714. The cubic root of 513564240 is about 800.8138800516.

The spelling of 513564240 in words is "five hundred thirteen million, five hundred sixty-four thousand, two hundred forty".