513252144 has 60 divisors (see below), whose sum is σ = 1443990912. Its totient is φ = 170179200.

The previous prime is 513252139. The next prime is 513252169. The reversal of 513252144 is 441252315.

513252144 is a `hidden beast` number, since 5 + 132 + 521 + 4 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18174 + ... + 36834.

Almost surely, 2^513252144 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 513252144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (721995456).

513252144 is an abundant number, since it is smaller than the sum of its proper divisors (930738768).

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

513252144 is a wasteful number, since it uses less digits than its factorization.

513252144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18866 (or 18857 counting only the distinct ones).

The product of its digits is 4800, while the sum is 27.

The square root of 513252144 is about 22655.0688367968. The cubic root of 513252144 is about 800.6516274164.

The spelling of 513252144 in words is "five hundred thirteen million, two hundred fifty-two thousand, one hundred forty-four".