506106031025 has 48 divisors (see below), whose sum is σ = 720717740160. Its totient is φ = 345356006400.

The previous prime is 506106031021. The next prime is 506106031033. The reversal of 506106031025 is 520130601605.

It is not a de Polignac number, because 506106031025 - 2² = 506106031021 is a prime.

It is a super-2 number, since 2×506106031025² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (506106031021) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 73676291 + ... + 73683159.

It is an arithmetic number, because the mean of its divisors is an integer number (15014952920).

Almost surely, 2^506106031025 is an apocalyptic number.

It is an amenable number.

506106031025 is a deficient number, since it is larger than the sum of its proper divisors (214611709135).

506106031025 is a wasteful number, since it uses less digits than its factorization.

506106031025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8874 (or 8869 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 29.

The spelling of 506106031025 in words is "five hundred six billion, one hundred six million, thirty-one thousand, twenty-five".