9759157321225 has 45 divisors (see below), whose sum is σ = 13113313040697. Its totient is φ = 7204812975360.

The previous prime is 9759157321201. The next prime is 9759157321339. The reversal of 9759157321225 is 5221237519579.

The square root of 9759157321225 is 3123965.

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

It can be written as a sum of positive squares in 22 ways, for example, as 265881515769 + 9493275805456 = 515637^2 + 3081116^2 .

It is not a de Polignac number, because 9759157321225 - 2¹³ = 9759157313033 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 9759157321225.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 2639748577 + ... + 2639752273.

Almost surely, 2^{9759157321225} is an apocalyptic number.

9759157321225 is the 3123965-th square number.

9759157321225 is the 1561983-rd centered octagonal number.

It is an amenable number.

9759157321225 is a deficient number, since it is larger than the sum of its proper divisors (3354155719472).

9759157321225 is an frugal number, since it uses more digits than its factorization.

9759157321225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7456 (or 3715 counting only the distinct ones).

The product of its digits is 11907000, while the sum is 58.

The spelling of 9759157321225 in words is "nine trillion, seven hundred fifty-nine billion, one hundred fifty-seven million, three hundred twenty-one thousand, two hundred twenty-five".