513252840 has 64 divisors (see below), whose sum is σ = 1547568000. Its totient is φ = 136173312.

The previous prime is 513252821. The next prime is 513252851. The reversal of 513252840 is 48252315.

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 = 513252798 and 513252807.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13134 + ... + 34626.

It is an arithmetic number, because the mean of its divisors is an integer number (24180750).

Almost surely, 2^513252840 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 513252840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (773784000).

513252840 is an abundant number, since it is smaller than the sum of its proper divisors (1034315160).

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

513252840 is a wasteful number, since it uses less digits than its factorization.

513252840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21706 (or 21702 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 513252840 is about 22655.0841975924. The cubic root of 513252840 is about 800.6519893264.

The spelling of 513252840 in words is "five hundred thirteen million, two hundred fifty-two thousand, eight hundred forty".