401520157 has 2 divisors, whose sum is σ = 401520158. Its totient is φ = 401520156.

The previous prime is 401520149. The next prime is 401520187. The reversal of 401520157 is 751025104.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 330185241 + 71334916 = 18171^2 + 8446^2 .

It is a cyclic number.

It is not a de Polignac number, because 401520157 - 2³ = 401520149 is a prime.

It is a super-2 number, since 2×401520157² = 322436872954609298, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (401520187) 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, 200760078 + 200760079.

It is an arithmetic number, because the mean of its divisors is an integer number (200760079).

Almost surely, 2^401520157 is an apocalyptic number.

It is an amenable number.

401520157 is a deficient number, since it is larger than the sum of its proper divisors (1).

401520157 is an equidigital number, since it uses as much as digits as its factorization.

401520157 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1400, while the sum is 25.

The square root of 401520157 is about 20037.9678859908. The cubic root of 401520157 is about 737.7385041877.

The spelling of 401520157 in words is "four hundred one million, five hundred twenty thousand, one hundred fifty-seven".