506332512 has 96 divisors (see below), whose sum is σ = 1687795200. Its totient is φ = 144664704.

The previous prime is 506332507. The next prime is 506332529. The reversal of 506332512 is 215233605.

506332512 is a `hidden beast` number, since 5 + 0 + 633 + 25 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×506332512² = 512745225416460288, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35812 + ... + 47907.

It is an arithmetic number, because the mean of its divisors is an integer number (17581200).

Almost surely, 2^506332512 is an apocalyptic number.

It is an amenable number.

506332512 is an abundant number, since it is smaller than the sum of its proper divisors (1181462688).

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

506332512 is a wasteful number, since it uses less digits than its factorization.

506332512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83745 (or 83731 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 506332512 is about 22501.8335252930. The cubic root of 506332512 is about 797.0372243292.

The spelling of 506332512 in words is "five hundred six million, three hundred thirty-two thousand, five hundred twelve".