507581352 has 96 divisors (see below), whose sum is σ = 1493856000. Its totient is φ = 155105280.

The previous prime is 507581323. The next prime is 507581363. The reversal of 507581352 is 253185705.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36424 + ... + 48392.

It is an arithmetic number, because the mean of its divisors is an integer number (15561000).

Almost surely, 2^507581352 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 507581352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (746928000).

507581352 is an abundant number, since it is smaller than the sum of its proper divisors (986274648).

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

507581352 is a wasteful number, since it uses less digits than its factorization.

507581352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12031 (or 12024 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 36.

The square root of 507581352 is about 22529.5661742520. The cubic root of 507581352 is about 797.6919684750.

The spelling of 507581352 in words is "five hundred seven million, five hundred eighty-one thousand, three hundred fifty-two".