61097458041 has 9 divisors (see below), whose sum is σ = 88252954959. Its totient is φ = 40731144336.

The previous prime is 61097458021. The next prime is 61097458043. The reversal of 61097458041 is 14085479016.

The square root of 61097458041 is 247179.

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

61097458041 is a `hidden beast` number, since 61 + 0 + 9 + 7 + 4 + 580 + 4 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 54454556025 + 6642902016 = 233355^2 + 81504^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 61097458041 - 2⁷ = 61097457913 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (61097458043) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 700341 + ... + 782733.

Almost surely, 2^61097458041 is an apocalyptic number.

61097458041 is the 247179-th square number.

61097458041 is the 123590-th centered octagonal number.

It is an amenable number.

61097458041 is a deficient number, since it is larger than the sum of its proper divisors (27155496918).

61097458041 is an frugal number, since it uses more digits than its factorization.

61097458041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164792 (or 82396 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 61097458041 in words is "sixty-one billion, ninety-seven million, four hundred fifty-eight thousand, forty-one".