507825839161 has 9 divisors (see below), whose sum is σ = 510533118543. Its totient is φ = 505132851960.

The previous prime is 507825839083. The next prime is 507825839221. The reversal of 507825839161 is 161938528705.

The square root of 507825839161 is 712619.

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

It can be written as a sum of positive squares in only one way, i.e., 452685406761 + 55140432400 = 672819^2 + 234820^2 .

It is a de Polignac number, because none of the positive numbers 2^k-507825839161 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (507825839461) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 141809391 + ... + 141812971.

Almost surely, 2^507825839161 is an apocalyptic number.

507825839161 is the 712619-th square number.

507825839161 is the 356310-th centered octagonal number.

It is an amenable number.

507825839161 is a deficient number, since it is larger than the sum of its proper divisors (2707279382).

507825839161 is an frugal number, since it uses more digits than its factorization.

507825839161 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7560 (or 3780 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 55.

The spelling of 507825839161 in words is "five hundred seven billion, eight hundred twenty-five million, eight hundred thirty-nine thousand, one hundred sixty-one".