506416572 has 18 divisors (see below), whose sum is σ = 1280108648. Its totient is φ = 168805512.

The previous prime is 506416567. The next prime is 506416601. The reversal of 506416572 is 275614605.

It is a happy number.

506416572 is a `hidden beast` number, since 5 + 0 + 641 + 6 + 5 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 14067127 = 506416572 / (5 + 0 + 6 + 4 + 1 + 6 + 5 + 7 + 2).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7033528 + ... + 7033599.

Almost surely, 2^506416572 is an apocalyptic number.

It is an amenable number.

506416572 is an abundant number, since it is smaller than the sum of its proper divisors (773692076).

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

506416572 is a wasteful number, since it uses less digits than its factorization.

506416572 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14067137 (or 14067132 counting only the distinct ones).

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

The square root of 506416572 is about 22503.7012955647. The cubic root of 506416572 is about 797.0813292341.

The spelling of 506416572 in words is "five hundred six million, four hundred sixteen thousand, five hundred seventy-two".