411221257 has 2 divisors, whose sum is σ = 411221258. Its totient is φ = 411221256.

The previous prime is 411221243. The next prime is 411221273. The reversal of 411221257 is 752122114.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 272547081 + 138674176 = 16509^2 + 11776^2 .

It is a cyclic number.

It is not a de Polignac number, because 411221257 - 2¹⁹ = 410696969 is a prime.

It is equal to p_21902380 and since 411221257 and 21902380 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (411221297) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 205610628 + 205610629.

It is an arithmetic number, because the mean of its divisors is an integer number (205610629).

Almost surely, 2^411221257 is an apocalyptic number.

It is an amenable number.

411221257 is a deficient number, since it is larger than the sum of its proper divisors (1).

411221257 is an equidigital number, since it uses as much as digits as its factorization.

411221257 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1120, while the sum is 25.

The square root of 411221257 is about 20278.5910999754. The cubic root of 411221257 is about 743.6327682655.

The spelling of 411221257 in words is "four hundred eleven million, two hundred twenty-one thousand, two hundred fifty-seven".