6597500625 has 125 divisors (see below), whose sum is σ = 12999652061. Its totient is φ = 3333474000.

The previous prime is 6597500563. The next prime is 6597500627. The reversal of 6597500625 is 5260057956.

The square root of 6597500625 is 81225.

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

6597500625 is a `hidden beast` number, since 6 + 597 + 50 + 0 + 6 + 2 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 517244049 + 6080256576 = 22743^2 + 77976^2 .

It is a tau number, because it is divible by the number of its divisors (125).

It is not a de Polignac number, because 6597500625 - 2¹¹ = 6597498577 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (6597500627) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 124 ways as a sum of consecutive naturals, for example, 347236866 + ... + 347236884.

Almost surely, 2^6597500625 is an apocalyptic number.

6597500625 is the 81225-th square number.

6597500625 is the 40613-rd centered octagonal number.

It is an amenable number.

6597500625 is a deficient number, since it is larger than the sum of its proper divisors (6402151436).

6597500625 is an frugal number, since it uses more digits than its factorization.

6597500625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 567000, while the sum is 45.

The cubic root of 6597500625 is about 1875.5406440938.

The spelling of 6597500625 in words is "six billion, five hundred ninety-seven million, five hundred thousand, six hundred twenty-five".