96289193025 has 81 divisors (see below), whose sum is σ = 174890865513. Its totient is φ = 50641776000.

The previous prime is 96289192999. The next prime is 96289193027. The reversal of 96289193025 is 52039198269.

It is a happy number.

The square root of 96289193025 is 310305.

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

96289193025 is a `hidden beast` number, since 9 + 628 + 9 + 1 + 9 + 3 + 0 + 2 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 280931121 + 96008261904 = 16761^2 + 309852^2 .

It is a de Polignac number, because none of the positive numbers 2^k-96289193025 is a prime.

It is not an unprimeable number, because it can be changed into a prime (96289193027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 637676700 + ... + 637676850.

Almost surely, 2^96289193025 is an apocalyptic number.

96289193025 is the 310305-th square number.

96289193025 is the 155153-rd centered octagonal number.

It is an amenable number.

96289193025 is a deficient number, since it is larger than the sum of its proper divisors (78601672488).

96289193025 is a wasteful number, since it uses less digits than its factorization.

96289193025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 592 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 54.

The spelling of 96289193025 in words is "ninety-six billion, two hundred eighty-nine million, one hundred ninety-three thousand, twenty-five".