685053410925625 has 45 divisors (see below), whose sum is σ = 995811480807561. Its totient is φ = 469747769526000.

The previous prime is 685053410925599. The next prime is 685053410925679. The reversal of 685053410925625 is 526529014350586.

The square root of 685053410925625 is 26173525.

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

It can be written as a sum of positive squares in 2 ways, for example, as 53708187416569 + 631345223509056 = 7328587^2 + 25126584^2 .

It is not a de Polignac number, because 685053410925625 - 2⁹ = 685053410925113 is a prime.

It is a super-2 number, since 2×685053410925625² (a number of 30 digits) contains 22 as substring.

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, 4580292094 + ... + 4580441656.

Almost surely, 2^{685053410925625} is an apocalyptic number.

685053410925625 is the 26173525-th square number.

685053410925625 is the 13086763-rd centered octagonal number.

It is an amenable number.

685053410925625 is a deficient number, since it is larger than the sum of its proper divisors (310758069881936).

685053410925625 is an frugal number, since it uses more digits than its factorization.

685053410925625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299160 (or 149575 counting only the distinct ones).

The product of its (nonzero) digits is 77760000, while the sum is 61.

The spelling of 685053410925625 in words is "six hundred eighty-five trillion, fifty-three billion, four hundred ten million, nine hundred twenty-five thousand, six hundred twenty-five".