401518001 has 2 divisors, whose sum is σ = 401518002. Its totient is φ = 401518000.

The previous prime is 401517997. The next prime is 401518003. The reversal of 401518001 is 100815104.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 340365601 + 61152400 = 18449^2 + 7820^2 .

It is a cyclic number.

It is not a de Polignac number, because 401518001 - 2² = 401517997 is a prime.

It is a super-2 number, since 2×401518001² = 322433410254072002, which contains 22 as substring.

Together with 401518003, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (401518003) 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, 200759000 + 200759001.

It is an arithmetic number, because the mean of its divisors is an integer number (200759001).

Almost surely, 2^401518001 is an apocalyptic number.

It is an amenable number.

401518001 is a deficient number, since it is larger than the sum of its proper divisors (1).

401518001 is an equidigital number, since it uses as much as digits as its factorization.

401518001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 160, while the sum is 20.

The square root of 401518001 is about 20037.9140880482. The cubic root of 401518001 is about 737.7371837334.

The spelling of 401518001 in words is "four hundred one million, five hundred eighteen thousand, one".