401372509 has 2 divisors, whose sum is σ = 401372510. Its totient is φ = 401372508.

The previous prime is 401372501. The next prime is 401372513. The reversal of 401372509 is 905273104.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 386240409 + 15132100 = 19653^2 + 3890^2 .

It is a cyclic number.

It is not a de Polignac number, because 401372509 - 2³ = 401372501 is a prime.

It is a super-2 number, since 2×401372509² = 322199781961910162, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (401372501) 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, 200686254 + 200686255.

It is an arithmetic number, because the mean of its divisors is an integer number (200686255).

Almost surely, 2^401372509 is an apocalyptic number.

It is an amenable number.

401372509 is a deficient number, since it is larger than the sum of its proper divisors (1).

401372509 is an equidigital number, since it uses as much as digits as its factorization.

401372509 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7560, while the sum is 31.

The square root of 401372509 is about 20034.2833413127. The cubic root of 401372509 is about 737.6480654165.

The spelling of 401372509 in words is "four hundred one million, three hundred seventy-two thousand, five hundred nine".