3117594080241 has 81 divisors (see below), whose sum is σ = 4850489072611. Its totient is φ = 1929186259968.

The previous prime is 3117594080233. The next prime is 3117594080257. The reversal of 3117594080241 is 1420804957113.

The square root of 3117594080241 is 1765671.

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

3117594080241 is a `hidden beast` number, since 3 + 1 + 17 + 594 + 0 + 8 + 0 + 2 + 41 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 2475666230625 + 641927849616 = 1573425^2 + 801204^2 .

It is not a de Polignac number, because 3117594080241 - 2³ = 3117594080233 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (3117594080201) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 8014380475 + ... + 8014380863.

Almost surely, 2^{3117594080241} is an apocalyptic number.

3117594080241 is the 1765671-st square number.

3117594080241 is the 882836-th centered octagonal number.

It is an amenable number.

3117594080241 is a deficient number, since it is larger than the sum of its proper divisors (1732894992370).

3117594080241 is an frugal number, since it uses more digits than its factorization.

3117594080241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 996 (or 498 counting only the distinct ones).

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

The spelling of 3117594080241 in words is "three trillion, one hundred seventeen billion, five hundred ninety-four million, eighty thousand, two hundred forty-one".