97045570071241 has 81 divisors (see below), whose sum is σ = 111406267605927. Its totient is φ = 84471032997120.

The previous prime is 97045570071209. The next prime is 97045570071271. The reversal of 97045570071241 is 14217007554079.

The square root of 97045570071241 is 9851171.

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., 39426782855625 + 57618787215616 = 6279075^2 + 7590704^2 .

It is not a de Polignac number, because 97045570071241 - 2⁵ = 97045570071209 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (97045570071271) by changing a digit.

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 80 ways as a sum of consecutive naturals, for example, 274916628921 + ... + 274916629273.

Almost surely, 2^{97045570071241} is an apocalyptic number.

97045570071241 is the 9851171-st square number.

97045570071241 is the 4925586-th centered octagonal number.

It is an amenable number.

97045570071241 is a deficient number, since it is larger than the sum of its proper divisors (14360697534686).

97045570071241 is an frugal number, since it uses more digits than its factorization.

97045570071241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 932 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 2469600, while the sum is 52.

The spelling of 97045570071241 in words is "ninety-seven trillion, forty-five billion, five hundred seventy million, seventy-one thousand, two hundred forty-one".