687750625 has 15 divisors (see below), whose sum is σ = 860233231. Its totient is φ = 549676000.

The previous prime is 687750607. The next prime is 687750629. The reversal of 687750625 is 526057786.

The square root of 687750625 is 26225.

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 215296929 + 472453696 = 14673^2 + 21736^2 .

It is a de Polignac number, because none of the positive numbers 2^k-687750625 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (687750629) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 655101 + ... + 656149.

Almost surely, 2^687750625 is an apocalyptic number.

687750625 is the 26225-th square number.

687750625 is the 13113-rd centered octagonal number.

It is an amenable number.

687750625 is a deficient number, since it is larger than the sum of its proper divisors (172482606).

687750625 is an frugal number, since it uses more digits than its factorization.

687750625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2118 (or 1054 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 46.

The cubic root of 687750625 is about 882.6943185052.

Multiplying 687750625 by its product of nonzero digits (705600), we get a square (485276841000000 = 22029000²).

The spelling of 687750625 in words is "six hundred eighty-seven million, seven hundred fifty thousand, six hundred twenty-five".