401337827257 has 2 divisors, whose sum is σ = 401337827258. Its totient is φ = 401337827256.

The previous prime is 401337827251. The next prime is 401337827287. The reversal of 401337827257 is 752728733104.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 389495817216 + 11842010041 = 624096^2 + 108821^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-401337827257 is a prime.

It is a super-2 number, since 2×401337827257² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 401337827257.

It is not a weakly prime, because it can be changed into another prime (401337827251) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 200668913628 + 200668913629.

It is an arithmetic number, because the mean of its divisors is an integer number (200668913629).

Almost surely, 2^401337827257 is an apocalyptic number.

It is an amenable number.

401337827257 is a deficient number, since it is larger than the sum of its proper divisors (1).

401337827257 is an equidigital number, since it uses as much as digits as its factorization.

401337827257 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1975680, while the sum is 49.

The spelling of 401337827257 in words is "four hundred one billion, three hundred thirty-seven million, eight hundred twenty-seven thousand, two hundred fifty-seven".