625500100 has 81 divisors (see below), whose sum is σ = 1414429653. Its totient is φ = 240096000.

The previous prime is 625500067. The next prime is 625500103. The reversal of 625500100 is 1005526.

It is a happy number.

The square root of 625500100 is 25010.

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

It can be written as a sum of positive squares in 13 ways, for example, as 468549316 + 156950784 = 21646^2 + 12528^2 .

It is a hoax number, since the sum of its digits (19) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (625500103) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 10254070 + ... + 10254130.

Almost surely, 2^625500100 is an apocalyptic number.

625500100 is the 25010-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 625500100

625500100 is an abundant number, since it is smaller than the sum of its proper divisors (788929553).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

625500100 is a wasteful number, since it uses less digits than its factorization.

625500100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 19.

The cubic root of 625500100 is about 855.2159549342.

Adding to 625500100 its reverse (1005526), we get a palindrome (626505626).

The spelling of 625500100 in words is "six hundred twenty-five million, five hundred thousand, one hundred".