506271625 has 32 divisors (see below), whose sum is σ = 676540800. Its totient is φ = 377092800.

The previous prime is 506271599. The next prime is 506271641. The reversal of 506271625 is 526172605.

It is not a de Polignac number, because 506271625 - 2⁵ = 506271593 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 138319 + ... + 141931.

It is an arithmetic number, because the mean of its divisors is an integer number (21141900).

Almost surely, 2^506271625 is an apocalyptic number.

It is an amenable number.

506271625 is a deficient number, since it is larger than the sum of its proper divisors (170269175).

506271625 is a wasteful number, since it uses less digits than its factorization.

506271625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3706 (or 3696 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 34.

The square root of 506271625 is about 22500.4805504238. The cubic root of 506271625 is about 797.0052748694.

The spelling of 506271625 in words is "five hundred six million, two hundred seventy-one thousand, six hundred twenty-five".