621418041294257 has 2 divisors, whose sum is σ = 621418041294258. Its totient is φ = 621418041294256.

The previous prime is 621418041294157. The next prime is 621418041294313. The reversal of 621418041294257 is 752492140814126.

It is an a-pointer prime, because the next prime (621418041294313) can be obtained adding 621418041294257 to its sum of digits (56).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 561828843179041 + 59589198115216 = 23702929^2 + 7719404^2 .

It is a cyclic number.

It is not a de Polignac number, because 621418041294257 - 2¹⁰ = 621418041293233 is a prime.

It is a super-2 number, since 2×621418041294257² (a number of 30 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (621418041294157) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 310709020647128 + 310709020647129.

It is an arithmetic number, because the mean of its divisors is an integer number (310709020647129).

Almost surely, 2^{621418041294257} is an apocalyptic number.

It is an amenable number.

621418041294257 is a deficient number, since it is larger than the sum of its proper divisors (1).

621418041294257 is an equidigital number, since it uses as much as digits as its factorization.

621418041294257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7741440, while the sum is 56.

The spelling of 621418041294257 in words is "six hundred twenty-one trillion, four hundred eighteen billion, forty-one million, two hundred ninety-four thousand, two hundred fifty-seven".