506724606427605 has 32 divisors (see below), whose sum is σ = 830639721352320. Its totient is φ = 263641877345280.

The previous prime is 506724606427591. The next prime is 506724606427651.

506724606427605 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 506724606427605 - 2⁶ = 506724606427541 is a prime.

It is a super-3 number, since 3×506724606427605³ (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 485027976 + ... + 486071585.

It is an arithmetic number, because the mean of its divisors is an integer number (25957491292260).

Almost surely, 2^{506724606427605} is an apocalyptic number.

It is an amenable number.

506724606427605 is a deficient number, since it is larger than the sum of its proper divisors (323915114924715).

506724606427605 is a wasteful number, since it uses less digits than its factorization.

506724606427605 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 971100421.

The product of its (nonzero) digits is 101606400, while the sum is 60.

The spelling of 506724606427605 in words is "five hundred six trillion, seven hundred twenty-four billion, six hundred six million, four hundred twenty-seven thousand, six hundred five".