9725235597961 has 81 divisors (see below), whose sum is σ = 11379500371071. Its totient is φ = 8305970310144.

The previous prime is 9725235597887. The next prime is 9725235597977. The reversal of 9725235597961 is 1697955325279.

The square root of 9725235597961 is 3118531.

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

It can be written as a sum of positive squares in 13 ways, for example, as 4933707228025 + 4791528369936 = 2221195^2 + 2188956^2 .

It is not a de Polignac number, because 9725235597961 - 2¹⁵ = 9725235565193 is a prime.

It is a Duffinian number.

Its product of digits (321489000) is a multiple of the sum of its prime divisors (270).

It is not an unprimeable number, because it can be changed into a prime (9725235597661) 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 80 ways as a sum of consecutive naturals, for example, 70987121085 + ... + 70987121221.

Almost surely, 2^{9725235597961} is an apocalyptic number.

9725235597961 is the 3118531-st square number.

9725235597961 is the 1559266-th centered octagonal number.

It is an amenable number.

9725235597961 is a deficient number, since it is larger than the sum of its proper divisors (1654264773110).

9725235597961 is a wasteful number, since it uses less digits than its factorization.

9725235597961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 540 (or 270 counting only the distinct ones).

The product of its digits is 321489000, while the sum is 70.

The spelling of 9725235597961 in words is "nine trillion, seven hundred twenty-five billion, two hundred thirty-five million, five hundred ninety-seven thousand, nine hundred sixty-one".