6125625 has 75 divisors (see below), whose sum is σ = 12568633. Its totient is φ = 2970000.

The previous prime is 6125599. The next prime is 6125653. The reversal of 6125625 is 5265216.

The square root of 6125625 is 2475.

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

It can be written as a sum of positive squares in 2 ways, for example, as 480249 + 5645376 = 693^2 + 2376^2 .

It is a tau number, because it is divible by the number of its divisors (75).

It is not a de Polignac number, because 6125625 - 2¹⁷ = 5994553 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

6125625 is a lucky number.

It is a nialpdrome in base 15.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 556870 + ... + 556880.

Almost surely, 2^6125625 is an apocalyptic number.

6125625 is the 2475-th square number.

6125625 is the 1238-th centered octagonal number.

It is an amenable number.

6125625 is an abundant number, since it is smaller than the sum of its proper divisors (6443008).

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

6125625 is an equidigital number, since it uses as much as digits as its factorization.

6125625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54 (or 19 counting only the distinct ones).

The product of its digits is 3600, while the sum is 27.

The cubic root of 6125625 is about 182.9715085985.

Multiplying 6125625 by its product of digits (3600), we get a square (22052250000 = 148500²).

The spelling of 6125625 in words is "six million, one hundred twenty-five thousand, six hundred twenty-five".