411405351051001 has 2 divisors, whose sum is σ = 411405351051002. Its totient is φ = 411405351051000.

The previous prime is 411405351050987. The next prime is 411405351051007. The reversal of 411405351051001 is 100150153504114.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 255614513226601 + 155790837824400 = 15987949^2 + 12481620^2 .

It is a cyclic number.

It is not a de Polignac number, because 411405351051001 - 2⁹ = 411405351050489 is a prime.

It is not a weakly prime, because it can be changed into another prime (411405351051007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 205702675525500 + 205702675525501.

It is an arithmetic number, because the mean of its divisors is an integer number (205702675525501).

Almost surely, 2^{411405351051001} is an apocalyptic number.

It is an amenable number.

411405351051001 is a deficient number, since it is larger than the sum of its proper divisors (1).

411405351051001 is an equidigital number, since it uses as much as digits as its factorization.

411405351051001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6000, while the sum is 31.

The spelling of 411405351051001 in words is "four hundred eleven trillion, four hundred five billion, three hundred fifty-one million, fifty-one thousand, one".