401268313 has 2 divisors, whose sum is σ = 401268314. Its totient is φ = 401268312.

The previous prime is 401268299. The next prime is 401268317. The reversal of 401268313 is 313862104.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 388365849 + 12902464 = 19707^2 + 3592^2 .

It is a cyclic number.

It is not a de Polignac number, because 401268313 - 2²¹ = 399171161 is a prime.

It is a super-2 number, since 2×401268313² = 322032518035731938, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (401268317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 200634156 + 200634157.

It is an arithmetic number, because the mean of its divisors is an integer number (200634157).

Almost surely, 2^401268313 is an apocalyptic number.

It is an amenable number.

401268313 is a deficient number, since it is larger than the sum of its proper divisors (1).

401268313 is an equidigital number, since it uses as much as digits as its factorization.

401268313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 401268313 is about 20031.6827301153. The cubic root of 401268313 is about 737.5842289321.

The spelling of 401268313 in words is "four hundred one million, two hundred sixty-eight thousand, three hundred thirteen".