18515317041 has 45 divisors (see below), whose sum is σ = 29975709819. Its totient is φ = 11384244144.

The previous prime is 18515317031. The next prime is 18515317063. The reversal of 18515317041 is 14071351581.

It is a happy number.

The square root of 18515317041 is 136071.

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

18515317041 is a `hidden beast` number, since 1 + 8 + 51 + 531 + 70 + 4 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2738952225 + 15776364816 = 52335^2 + 125604^2 .

It is not a de Polignac number, because 18515317041 - 2²⁵ = 18481762609 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 18515316987 and 18515317005.

It is not an unprimeable number, because it can be changed into a prime (18515317031) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 15919726 + ... + 15920888.

Almost surely, 2^18515317041 is an apocalyptic number.

18515317041 is the 136071-st square number.

18515317041 is the 68036-th centered octagonal number.

It is an amenable number.

18515317041 is a deficient number, since it is larger than the sum of its proper divisors (11460392778).

18515317041 is an frugal number, since it uses more digits than its factorization.

18515317041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2364 (or 1179 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 36.

Multiplying 18515317041 by its sum of digits (36), we get a square (666551413476 = 816426²).

The spelling of 18515317041 in words is "eighteen billion, five hundred fifteen million, three hundred seventeen thousand, forty-one".