625388500 has 72 divisors (see below), whose sum is σ = 1501449768. Its totient is φ = 227392000.

The previous prime is 625388497. The next prime is 625388501. The reversal of 625388500 is 5883526.

625388500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 144288144 + 481100356 = 12012^2 + 21934^2 .

It is a super-2 number, since 2×625388500² = 782221551864500000, which contains 22 as substring.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 625388500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (625388501) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55332 + ... + 65668.

It is an arithmetic number, because the mean of its divisors is an integer number (20853469).

Almost surely, 2^625388500 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 625388500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (750724884).

625388500 is an abundant number, since it is smaller than the sum of its proper divisors (876061268).

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

625388500 is a wasteful number, since it uses less digits than its factorization.

625388500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10378 (or 10355 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 37.

The square root of 625388500 is about 25007.7687929171. The cubic root of 625388500 is about 855.1650901529.

The spelling of 625388500 in words is "six hundred twenty-five million, three hundred eighty-eight thousand, five hundred".