506091064100 has 36 divisors (see below), whose sum is σ = 1111449164784. Its totient is φ = 199997429280.

The previous prime is 506091064097. The next prime is 506091064109. The reversal of 506091064100 is 1460190605.

It is a super-2 number, since 2×506091064100² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (506091064109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30479114 + ... + 30495713.

Almost surely, 2^506091064100 is an apocalyptic number.

506091064100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

506091064100 is an abundant number, since it is smaller than the sum of its proper divisors (605358100684).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

506091064100 is a wasteful number, since it uses less digits than its factorization.

506091064100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60974924 (or 60974917 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 32.

The spelling of 506091064100 in words is "five hundred six billion, ninety-one million, sixty-four thousand, one hundred".