17958600241 has 2 divisors, whose sum is σ = 17958600242. Its totient is φ = 17958600240.

The previous prime is 17958600221. The next prime is 17958600251. The reversal of 17958600241 is 14200685971.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12647251600 + 5311348641 = 112460^2 + 72879^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-17958600241 is a prime.

It is a super-2 number, since 2×17958600241² (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (17958600221) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 8979300120 + 8979300121.

It is an arithmetic number, because the mean of its divisors is an integer number (8979300121).

Almost surely, 2^17958600241 is an apocalyptic number.

It is an amenable number.

17958600241 is a deficient number, since it is larger than the sum of its proper divisors (1).

17958600241 is an equidigital number, since it uses as much as digits as its factorization.

17958600241 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 120960, while the sum is 43.

The spelling of 17958600241 in words is "seventeen billion, nine hundred fifty-eight million, six hundred thousand, two hundred forty-one".