513212490 has 128 divisors (see below), whose sum is σ = 1656184320. Its totient is φ = 110398464.

The previous prime is 513212467. The next prime is 513212573. The reversal of 513212490 is 94212315.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24144 + ... + 40116.

It is an arithmetic number, because the mean of its divisors is an integer number (12938940).

Almost surely, 2^513212490 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 513212490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (828092160).

513212490 is an abundant number, since it is smaller than the sum of its proper divisors (1142971830).

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

513212490 is a wasteful number, since it uses less digits than its factorization.

513212490 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16013 (or 16007 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 513212490 is about 22654.1936515074. The cubic root of 513212490 is about 800.6310073646.

The spelling of 513212490 in words is "five hundred thirteen million, two hundred twelve thousand, four hundred ninety".