627431125 has 16 divisors (see below), whose sum is σ = 784081584. Its totient is φ = 501273600.

The previous prime is 627431117. The next prime is 627431143. The reversal of 627431125 is 521134726.

It can be written as a sum of positive squares in 8 ways, for example, as 3530641 + 623900484 = 1879^2 + 24978^2 .

It is not a de Polignac number, because 627431125 - 2³ = 627431117 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 104197 + ... + 110053.

It is an arithmetic number, because the mean of its divisors is an integer number (49005099).

Almost surely, 2^627431125 is an apocalyptic number.

It is an amenable number.

627431125 is a deficient number, since it is larger than the sum of its proper divisors (156650459).

627431125 is an equidigital number, since it uses as much as digits as its factorization.

627431125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6729 (or 6719 counting only the distinct ones).

The product of its digits is 10080, while the sum is 31.

The square root of 627431125 is about 25048.5753087875. The cubic root of 627431125 is about 856.0951164613.

The spelling of 627431125 in words is "six hundred twenty-seven million, four hundred thirty-one thousand, one hundred twenty-five".