506010005605 has 12 divisors (see below), whose sum is σ = 657513594180. Its totient is φ = 373668926592.

The previous prime is 506010005477. The next prime is 506010005623. The reversal of 506010005605 is 506500010605.

It can be written as a sum of positive squares in 6 ways, for example, as 115413755076 + 390596250529 = 339726^2 + 624977^2 .

It is not a de Polignac number, because 506010005605 - 2⁷ = 506010005477 is a prime.

It is a super-2 number, since 2×506010005605² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 299413360 + ... + 299415049.

It is an arithmetic number, because the mean of its divisors is an integer number (54792799515).

Almost surely, 2^506010005605 is an apocalyptic number.

It is an amenable number.

506010005605 is a deficient number, since it is larger than the sum of its proper divisors (151503588575).

506010005605 is a wasteful number, since it uses less digits than its factorization.

506010005605 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 598828440 (or 598828427 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 28.

The spelling of 506010005605 in words is "five hundred six billion, ten million, five thousand, six hundred five".