9657519599025 has 135 divisors (see below), whose sum is σ = 18246966506769. Its totient is φ = 5049616178880.

The previous prime is 9657519598999. The next prime is 9657519599053. The reversal of 9657519599025 is 5209959157569.

The square root of 9657519599025 is 3107655.

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

9657519599025 is a `hidden beast` number, since 9 + 6 + 5 + 7 + 5 + 1 + 9 + 599 + 0 + 25 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 72749417841 + 9584770181184 = 269721^2 + 3095928^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is not a de Polignac number, because 9657519599025 - 2¹⁹ = 9657519074737 is a prime.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 7411756524 + ... + 7411757826.

Almost surely, 2^{9657519599025} is an apocalyptic number.

9657519599025 is the 3107655-th square number.

9657519599025 is the 1553828-th centered octagonal number.

It is an amenable number.

9657519599025 is a deficient number, since it is larger than the sum of its proper divisors (8589446907744).

9657519599025 is an frugal number, since it uses more digits than its factorization.

9657519599025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2734 (or 1364 counting only the distinct ones).

The product of its (nonzero) digits is 344452500, while the sum is 72.

The spelling of 9657519599025 in words is "nine trillion, six hundred fifty-seven billion, five hundred nineteen million, five hundred ninety-nine thousand, twenty-five".