97825254142225 has 27 divisors (see below), whose sum is σ = 121631228181939. Its totient is φ = 78049215648000.

The previous prime is 97825254142207. The next prime is 97825254142247. The reversal of 97825254142225 is 52224145252879.

The square root of 97825254142225 is 9890665.

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 17346700213969 + 80478553928256 = 4164937^2 + 8970984^2 .

It is not a de Polignac number, because 97825254142225 - 2²⁵ = 97825220587793 is a prime.

It is a Smith number, since the sum of its digits (58) coincides with the sum of the digits of its prime factors.

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 97825254142225.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 19830780859 + ... + 19830785791.

Almost surely, 2^{97825254142225} is an apocalyptic number.

97825254142225 is the 9890665-th square number.

97825254142225 is the 4945333-rd centered octagonal number.

It is an amenable number.

97825254142225 is a deficient number, since it is larger than the sum of its proper divisors (23805974039714).

97825254142225 is an frugal number, since it uses more digits than its factorization.

97825254142225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10678 (or 5339 counting only the distinct ones).

The product of its digits is 32256000, while the sum is 58.

The spelling of 97825254142225 in words is "ninety-seven trillion, eight hundred twenty-five billion, two hundred fifty-four million, one hundred forty-two thousand, two hundred twenty-five".