507152664 has 96 divisors (see below), whose sum is σ = 1457776320. Its totient is φ = 165092256.

The previous prime is 507152647. The next prime is 507152669. The reversal of 507152664 is 466251705.

It is a happy number.

507152664 is a `hidden beast` number, since 5 + 0 + 71 + 526 + 64 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (507152669) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 80559 + ... + 86625.

It is an arithmetic number, because the mean of its divisors is an integer number (15185170).

Almost surely, 2^507152664 is an apocalyptic number.

507152664 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 507152664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (728888160).

507152664 is an abundant number, since it is smaller than the sum of its proper divisors (950623656).

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

507152664 is a wasteful number, since it uses less digits than its factorization.

507152664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6131 (or 6115 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 507152664 is about 22520.0502663737. The cubic root of 507152664 is about 797.4673363128.

The spelling of 507152664 in words is "five hundred seven million, one hundred fifty-two thousand, six hundred sixty-four".