506624216131 has 8 divisors (see below), whose sum is σ = 552693382128. Its totient is φ = 460557120000.

The previous prime is 506624216107. The next prime is 506624216149. The reversal of 506624216131 is 131612426605.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 506624216131 - 2⁷ = 506624216003 is a prime.

It is a super-2 number, since 2×506624216131² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (506624216731) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18451 + ... + 1006771.

It is an arithmetic number, because the mean of its divisors is an integer number (69086672766).

Almost surely, 2^506624216131 is an apocalyptic number.

506624216131 is a deficient number, since it is larger than the sum of its proper divisors (46069165997).

506624216131 is a wasteful number, since it uses less digits than its factorization.

506624216131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1034933.

The product of its (nonzero) digits is 51840, while the sum is 37.

The spelling of 506624216131 in words is "five hundred six billion, six hundred twenty-four million, two hundred sixteen thousand, one hundred thirty-one".