200958418944137 has 2 divisors, whose sum is σ = 200958418944138. Its totient is φ = 200958418944136.

The previous prime is 200958418944133. The next prime is 200958418944197. The reversal of 200958418944137 is 731449814859002.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 151635482609296 + 49322936334841 = 12314036^2 + 7023029^2 .

It is a cyclic number.

It is not a de Polignac number, because 200958418944137 - 2² = 200958418944133 is a prime.

It is a super-2 number, since 2×200958418944137² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (200958418944133) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 100479209472068 + 100479209472069.

It is an arithmetic number, because the mean of its divisors is an integer number (100479209472069).

Almost surely, 2^{200958418944137} is an apocalyptic number.

It is an amenable number.

200958418944137 is a deficient number, since it is larger than the sum of its proper divisors (1).

200958418944137 is an equidigital number, since it uses as much as digits as its factorization.

200958418944137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 69672960, while the sum is 65.

The spelling of 200958418944137 in words is "two hundred trillion, nine hundred fifty-eight billion, four hundred eighteen million, nine hundred forty-four thousand, one hundred thirty-seven".