670965765625 has 21 divisors (see below), whose sum is σ = 838824477753. Its totient is φ = 536690700000.

The previous prime is 670965765623. The next prime is 670965765637. The reversal of 670965765625 is 526567569076.

The square root of 670965765625 is 819125.

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

It can be written as a sum of positive squares in 10 ways, for example, as 463470939369 + 207494826256 = 680787^2 + 455516^2 .

It is not a de Polignac number, because 670965765625 - 2¹ = 670965765623 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (670965765623) by changing a digit.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 102387349 + ... + 102393901.

Almost surely, 2^670965765625 is an apocalyptic number.

670965765625 is the 819125-th square number.

670965765625 is the 409563-rd centered octagonal number.

It is an amenable number.

670965765625 is a deficient number, since it is larger than the sum of its proper divisors (167858712128).

670965765625 is an frugal number, since it uses more digits than its factorization.

670965765625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13136 (or 6558 counting only the distinct ones).

The product of its (nonzero) digits is 142884000, while the sum is 64.

Multiplying 670965765625 by its sum of digits (64), we get a square (42941809000000 = 6553000²).

The spelling of 670965765625 in words is "six hundred seventy billion, nine hundred sixty-five million, seven hundred sixty-five thousand, six hundred twenty-five".