7521169125625 has 45 divisors (see below), whose sum is σ = 9470537988219. Its totient is φ = 5971135968000.

The previous prime is 7521169125581. The next prime is 7521169125649. The reversal of 7521169125625 is 5265219611257.

The square root of 7521169125625 is 2742475.

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

It can be written as a sum of positive squares in 7 ways, for example, as 6753288466681 + 767880658944 = 2598709^2 + 876288^2 .

It is not a de Polignac number, because 7521169125625 - 2¹⁹ = 7521168601337 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 11175585289 + ... + 11175585961.

Almost surely, 2^{7521169125625} is an apocalyptic number.

7521169125625 is the 2742475-th square number.

7521169125625 is the 1371238-th centered octagonal number.

It is an amenable number.

7521169125625 is a deficient number, since it is larger than the sum of its proper divisors (1949368862594).

7521169125625 is an frugal number, since it uses more digits than its factorization.

7521169125625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1692 (or 841 counting only the distinct ones).

The product of its digits is 2268000, while the sum is 52.

The spelling of 7521169125625 in words is "seven trillion, five hundred twenty-one billion, one hundred sixty-nine million, one hundred twenty-five thousand, six hundred twenty-five".