96438197025 has 135 divisors (see below), whose sum is σ = 183120597891. Its totient is φ = 50174134560.

The previous prime is 96438197003. The next prime is 96438197029. The reversal of 96438197025 is 52079183469.

The square root of 96438197025 is 310545.

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

It can be written as a sum of positive squares in only one way, i.e., 34717750929 + 61720446096 = 186327^2 + 248436^2 .

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

It is not a de Polignac number, because 96438197025 - 2⁵ = 96438196993 is a prime.

It is not an unprimeable number, because it can be changed into a prime (96438197029) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 936293124 + ... + 936293226.

It is a 2-persistent number, because it is pandigital, and so is 2⋅96438197025 = 192876394050, but 3⋅96438197025 = 289314591075 is not.

Almost surely, 2^96438197025 is an apocalyptic number.

96438197025 is the 310545-th square number.

96438197025 is the 155273-rd centered octagonal number.

It is an amenable number.

96438197025 is a deficient number, since it is larger than the sum of its proper divisors (86682400866).

96438197025 is an equidigital number, since it uses as much as digits as its factorization.

96438197025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 96438197025 in words is "ninety-six billion, four hundred thirty-eight million, one hundred ninety-seven thousand, twenty-five".