400253101 has 2 divisors, whose sum is σ = 400253102. Its totient is φ = 400253100.

The previous prime is 400253071. The next prime is 400253143. The reversal of 400253101 is 101352004.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 366914025 + 33339076 = 19155^2 + 5774^2 .

It is a cyclic number.

It is not a de Polignac number, because 400253101 - 2¹⁵ = 400220333 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (400253171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 200126550 + 200126551.

It is an arithmetic number, because the mean of its divisors is an integer number (200126551).

Almost surely, 2^400253101 is an apocalyptic number.

It is an amenable number.

400253101 is a deficient number, since it is larger than the sum of its proper divisors (1).

400253101 is an equidigital number, since it uses as much as digits as its factorization.

400253101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 400253101 is about 20006.3265243772. The cubic root of 400253101 is about 736.9616723046.

The spelling of 400253101 in words is "four hundred million, two hundred fifty-three thousand, one hundred one".