506042663631 has 32 divisors (see below), whose sum is σ = 704911757760. Its totient is φ = 322631500800.

The previous prime is 506042663629. The next prime is 506042663647. The reversal of 506042663631 is 136366240605.

It is a happy number.

It is not a de Polignac number, because 506042663631 - 2¹ = 506042663629 is a prime.

It is a super-2 number, since 2×506042663631² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506042663611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2083285 + ... + 2313473.

It is an arithmetic number, because the mean of its divisors is an integer number (22028492430).

Almost surely, 2^506042663631 is an apocalyptic number.

506042663631 is a deficient number, since it is larger than the sum of its proper divisors (198869094129).

506042663631 is a wasteful number, since it uses less digits than its factorization.

506042663631 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230587.

The product of its (nonzero) digits is 466560, while the sum is 42.

The spelling of 506042663631 in words is "five hundred six billion, forty-two million, six hundred sixty-three thousand, six hundred thirty-one".