17725133093137 has 2 divisors, whose sum is σ = 17725133093138. Its totient is φ = 17725133093136.

The previous prime is 17725133093131. The next prime is 17725133093197. The reversal of 17725133093137 is 73139033152771.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 16922659328656 + 802473764481 = 4113716^2 + 895809^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-17725133093137 is a prime.

It is not a weakly prime, because it can be changed into another prime (17725133093131) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 8862566546568 + 8862566546569.

It is an arithmetic number, because the mean of its divisors is an integer number (8862566546569).

Almost surely, 2^{17725133093137} is an apocalyptic number.

It is an amenable number.

17725133093137 is a deficient number, since it is larger than the sum of its proper divisors (1).

17725133093137 is an equidigital number, since it uses as much as digits as its factorization.

17725133093137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2500470, while the sum is 52.

The spelling of 17725133093137 in words is "seventeen trillion, seven hundred twenty-five billion, one hundred thirty-three million, ninety-three thousand, one hundred thirty-seven".