506100461013 has 96 divisors (see below), whose sum is σ = 906908267520. Its totient is φ = 277825282560.

The previous prime is 506100460993. The next prime is 506100461051. The reversal of 506100461013 is 310164001605.

506100461013 is a `hidden beast` number, since 5 + 0 + 610 + 0 + 46 + 1 + 0 + 1 + 3 = 666.

It is not a de Polignac number, because 506100461013 - 2²⁴ = 506083683797 is a prime.

It is a super-2 number, since 2×506100461013² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506100461093) 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 95 ways as a sum of consecutive naturals, for example, 5573745 + ... + 5663817.

It is an arithmetic number, because the mean of its divisors is an integer number (9446961120).

Almost surely, 2^506100461013 is an apocalyptic number.

It is an amenable number.

506100461013 is a deficient number, since it is larger than the sum of its proper divisors (400807806507).

506100461013 is a wasteful number, since it uses less digits than its factorization.

506100461013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90264 (or 90251 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

Adding to 506100461013 its reverse (310164001605), we get a palindrome (816264462618).

The spelling of 506100461013 in words is "five hundred six billion, one hundred million, four hundred sixty-one thousand, thirteen".