97783717759225 has 81 divisors (see below), whose sum is σ = 128394270134221. Its totient is φ = 73871535976000.

The previous prime is 97783717759127. The next prime is 97783717759261. The reversal of 97783717759225 is 52295771738779.

The square root of 97783717759225 is 9888565.

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 1344090103801 + 96439627655424 = 1159349^2 + 9820368^2 .

It is not a de Polignac number, because 97783717759225 - 2⁷ = 97783717759097 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 67390569750 + ... + 67390571200.

Almost surely, 2^{97783717759225} is an apocalyptic number.

97783717759225 is the 9888565-th square number.

97783717759225 is the 4944283-rd centered octagonal number.

It is an amenable number.

97783717759225 is a deficient number, since it is larger than the sum of its proper divisors (30610552374996).

97783717759225 is an frugal number, since it uses more digits than its factorization.

97783717759225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3064 (or 1532 counting only the distinct ones).

The product of its digits is 3267280800, while the sum is 79.

The spelling of 97783717759225 in words is "ninety-seven trillion, seven hundred eighty-three billion, seven hundred seventeen million, seven hundred fifty-nine thousand, two hundred twenty-five".