7590438255625 has 45 divisors (see below), whose sum is σ = 9551138406579. Its totient is φ = 6030308160000.

The previous prime is 7590438255619. The next prime is 7590438255679. The reversal of 7590438255625 is 5265528340957.

The square root of 7590438255625 is 2755075.

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 7193054268169 + 397383987456 = 2681987^2 + 630384^2 .

It is not a de Polignac number, because 7590438255625 - 2¹¹ = 7590438253577 is a prime.

It is a super-2 number, since 2×7590438255625² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

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 44 ways as a sum of consecutive naturals, for example, 13293236590 + ... + 13293237160.

Almost surely, 2^{7590438255625} is an apocalyptic number.

7590438255625 is the 2755075-th square number.

7590438255625 is the 1377538-th centered octagonal number.

It is an amenable number.

7590438255625 is a deficient number, since it is larger than the sum of its proper divisors (1960700150954).

7590438255625 is an frugal number, since it uses more digits than its factorization.

7590438255625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1548 (or 769 counting only the distinct ones).

The product of its (nonzero) digits is 90720000, while the sum is 61.

The spelling of 7590438255625 in words is "seven trillion, five hundred ninety billion, four hundred thirty-eight million, two hundred fifty-five thousand, six hundred twenty-five".