97257485810241 has 135 divisors (see below), whose sum is σ = 158112951162771. Its totient is φ = 59565371677056.

The previous prime is 97257485810231. The next prime is 97257485810257. The reversal of 97257485810241 is 14201858475279.

The square root of 97257485810241 is 9861921.

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

97257485810241 is a `hidden beast` number, since 9 + 7 + 2 + 5 + 7 + 4 + 8 + 581 + 0 + 2 + 41 = 666.

It can be written as a sum of positive squares in only one way, i.e., 75719495873025 + 21537989937216 = 8701695^2 + 4640904^2 .

It is not a de Polignac number, because 97257485810241 - 2¹⁹ = 97257485285953 is a prime.

It is a super-2 number, since 2×97257485810241² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (97257485810231) 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, 64881577510 + ... + 64881579008.

Almost surely, 2^{97257485810241} is an apocalyptic number.

97257485810241 is the 9861921-st square number.

97257485810241 is the 4930961-st centered octagonal number.

It is an amenable number.

97257485810241 is a deficient number, since it is larger than the sum of its proper divisors (60855465352530).

97257485810241 is an frugal number, since it uses more digits than its factorization.

97257485810241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3130 (or 1562 counting only the distinct ones).

The product of its (nonzero) digits is 45158400, while the sum is 63.

The spelling of 97257485810241 in words is "ninety-seven trillion, two hundred fifty-seven billion, four hundred eighty-five million, eight hundred ten thousand, two hundred forty-one".