513362460 has 96 divisors (see below), whose sum is σ = 1562706432. Its totient is φ = 125164800.

The previous prime is 513362431. The next prime is 513362471. The reversal of 513362460 is 64263315.

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

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, 80385 + ... + 86535.

It is an arithmetic number, because the mean of its divisors is an integer number (16278192).

Almost surely, 2^513362460 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 513362460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (781353216).

513362460 is an abundant number, since it is smaller than the sum of its proper divisors (1049343972).

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

513362460 is a wasteful number, since it uses less digits than its factorization.

513362460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6283 (or 6281 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

The square root of 513362460 is about 22657.5033929160. The cubic root of 513362460 is about 800.7089860712.

The spelling of 513362460 in words is "five hundred thirteen million, three hundred sixty-two thousand, four hundred sixty".