506100010605 has 64 divisors (see below), whose sum is σ = 969849254400. Its totient is φ = 225106947072.

The previous prime is 506100010589. The next prime is 506100010609. The reversal of 506100010605 is 506010001605.

It is not a de Polignac number, because 506100010605 - 2⁴ = 506100010589 is a prime.

It is a super-2 number, since 2×506100010605² (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 (506100010609) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1138924 + ... + 1519653.

It is an arithmetic number, because the mean of its divisors is an integer number (15153894600).

Almost surely, 2^506100010605 is an apocalyptic number.

It is an amenable number.

506100010605 is a deficient number, since it is larger than the sum of its proper divisors (463749243795).

506100010605 is a wasteful number, since it uses less digits than its factorization.

506100010605 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2658643 (or 2658629 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 24.

The spelling of 506100010605 in words is "five hundred six billion, one hundred million, ten thousand, six hundred five".