96258165025 has 27 divisors (see below), whose sum is σ = 131220754329. Its totient is φ = 69993528000.

The previous prime is 96258164987. The next prime is 96258165037. The reversal of 96258165025 is 52056185269.

It is a happy number.

The square root of 96258165025 is 310255.

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

It can be written as a sum of positive squares in 4 ways, for example, as 25184737809 + 71073427216 = 158697^2 + 266596^2 .

It is not a de Polignac number, because 96258165025 - 2¹³ = 96258156833 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 96258165025.

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 17061205 + ... + 17066845.

Almost surely, 2^96258165025 is an apocalyptic number.

96258165025 is the 310255-th square number.

96258165025 is the 155128-th centered octagonal number.

It is an amenable number.

96258165025 is a deficient number, since it is larger than the sum of its proper divisors (34962589304).

96258165025 is an frugal number, since it uses more digits than its factorization.

96258165025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11314 (or 5657 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 49.

Multiplying 96258165025 by its sum of digits (49), we get a square (4716650086225 = 2171785²).

The spelling of 96258165025 in words is "ninety-six billion, two hundred fifty-eight million, one hundred sixty-five thousand, twenty-five".