97757811435025 has 27 divisors (see below), whose sum is σ = 141011154518481. Its totient is φ = 67033690547040.

The previous prime is 97757811434993. The next prime is 97757811435041. The reversal of 97757811435025 is 52053411875779.

The square root of 97757811435025 is 9887255.

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 19060899442641 + 78696911992384 = 4365879^2 + 8871128^2 .

It is not a de Polignac number, because 97757811435025 - 2⁵ = 97757811434993 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 345912679 + ... + 346195171.

Almost surely, 2^{97757811435025} is an apocalyptic number.

97757811435025 is the 9887255-th square number.

97757811435025 is the 4943628-th centered octagonal number.

It is an amenable number.

97757811435025 is a deficient number, since it is larger than the sum of its proper divisors (43253343083456).

97757811435025 is an frugal number, since it uses more digits than its factorization.

97757811435025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 565010 (or 282505 counting only the distinct ones).

The product of its (nonzero) digits is 74088000, while the sum is 64.

The spelling of 97757811435025 in words is "ninety-seven trillion, seven hundred fifty-seven billion, eight hundred eleven million, four hundred thirty-five thousand, twenty-five".