401457013 has 2 divisors, whose sum is σ = 401457014. Its totient is φ = 401457012.

The previous prime is 401457011. The next prime is 401457029. The reversal of 401457013 is 310754104.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 371448529 + 30008484 = 19273^2 + 5478^2 .

It is a cyclic number.

It is not a de Polignac number, because 401457013 - 2¹ = 401457011 is a prime.

It is a super-2 number, since 2×401457013² = 322335466573764338, which contains 22 as substring.

Together with 401457011, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (401457011) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 200728506 + 200728507.

It is an arithmetic number, because the mean of its divisors is an integer number (200728507).

Almost surely, 2^401457013 is an apocalyptic number.

It is an amenable number.

401457013 is a deficient number, since it is larger than the sum of its proper divisors (1).

401457013 is an equidigital number, since it uses as much as digits as its factorization.

401457013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1680, while the sum is 25.

The square root of 401457013 is about 20036.3922151669. The cubic root of 401457013 is about 737.6998293321.

The spelling of 401457013 in words is "four hundred one million, four hundred fifty-seven thousand, thirteen".