506667461025625 has 45 divisors (see below), whose sum is σ = 672578164086411. Its totient is φ = 381483591216000.

The previous prime is 506667461025577. The next prime is 506667461025653. The reversal of 506667461025625 is 526520164766605.

It is a happy number.

The square root of 506667461025625 is 22509275.

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

It can be written as a sum of positive squares in 7 ways, for example, as 247433246060121 + 259234214965504 = 15730011^2 + 16100752^2 .

It is not a de Polignac number, because 506667461025625 - 2¹³ = 506667461017433 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 9566415394 + ... + 9566468356.

Almost surely, 2^{506667461025625} is an apocalyptic number.

506667461025625 is the 22509275-th square number.

506667461025625 is the 11254638-th centered octagonal number.

It is an amenable number.

506667461025625 is a deficient number, since it is larger than the sum of its proper divisors (165910703060786).

506667461025625 is an frugal number, since it uses more digits than its factorization.

506667461025625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105980 (or 52985 counting only the distinct ones).

The product of its (nonzero) digits is 108864000, while the sum is 61.

The spelling of 506667461025625 in words is "five hundred six trillion, six hundred sixty-seven billion, four hundred sixty-one million, twenty-five thousand, six hundred twenty-five".