413411346026137 has 2 divisors, whose sum is σ = 413411346026138. Its totient is φ = 413411346026136.

The previous prime is 413411346026111. The next prime is 413411346026213. The reversal of 413411346026137 is 731620643114314.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 412157358152281 + 1253987873856 = 20301659^2 + 1119816^2 .

It is a cyclic number.

It is not a de Polignac number, because 413411346026137 - 2³¹ = 413409198542489 is a prime.

It is not a weakly prime, because it can be changed into another prime (413411346026837) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 206705673013068 + 206705673013069.

It is an arithmetic number, because the mean of its divisors is an integer number (206705673013069).

Almost surely, 2^{413411346026137} is an apocalyptic number.

It is an amenable number.

413411346026137 is a deficient number, since it is larger than the sum of its proper divisors (1).

413411346026137 is an equidigital number, since it uses as much as digits as its factorization.

413411346026137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 870912, while the sum is 46.

The spelling of 413411346026137 in words is "four hundred thirteen trillion, four hundred eleven billion, three hundred forty-six million, twenty-six thousand, one hundred thirty-seven".