507939864601 has 27 divisors (see below), whose sum is σ = 558398963997. Its totient is φ = 461828952000.

The previous prime is 507939864599. The next prime is 507939864683. The reversal of 507939864601 is 106468939705.

The square root of 507939864601 is 712699.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 51099054601 + 456840810000 = 226051^2 + 675900^2 .

It is not a de Polignac number, because 507939864601 - 2¹ = 507939864599 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (507939804601) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 676350976 + ... + 676351726.

It is an arithmetic number, because the mean of its divisors is an integer number (20681443111).

Almost surely, 2^507939864601 is an apocalyptic number.

507939864601 is the 712699-th square number.

507939864601 is the 356350-th centered octagonal number.

It is an amenable number.

507939864601 is a deficient number, since it is larger than the sum of its proper divisors (50459099396).

507939864601 is an frugal number, since it uses more digits than its factorization.

507939864601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1674 (or 837 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 58.

The spelling of 507939864601 in words is "five hundred seven billion, nine hundred thirty-nine million, eight hundred sixty-four thousand, six hundred one".