623750625 has 105 divisors (see below), whose sum is σ = 1201061631. Its totient is φ = 323676000.

The previous prime is 623750581. The next prime is 623750629. The reversal of 623750625 is 526057326.

It is a happy number.

The square root of 623750625 is 24975.

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

623750625 is a `hidden beast` number, since 6 + 23 + 7 + 5 + 0 + 625 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 207100881 + 416649744 = 14391^2 + 20412^2 .

It is not a de Polignac number, because 623750625 - 2⁷ = 623750497 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 623750625.

It is not an unprimeable number, because it can be changed into a prime (623750629) by changing a digit.

It is a polite number, since it can be written in 104 ways as a sum of consecutive naturals, for example, 16858107 + ... + 16858143.

Almost surely, 2^623750625 is an apocalyptic number.

623750625 is the 24975-th square number.

623750625 is the 12488-th centered octagonal number.

It is an amenable number.

623750625 is a deficient number, since it is larger than the sum of its proper divisors (577311006).

623750625 is an frugal number, since it uses more digits than its factorization.

623750625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The cubic root of 623750625 is about 854.4178863152.

Multiplying 623750625 by its sum of digits (36), we get a square (22455022500 = 149850²).

The spelling of 623750625 in words is "six hundred twenty-three million, seven hundred fifty thousand, six hundred twenty-five".