401513201 has 2 divisors, whose sum is σ = 401513202. Its totient is φ = 401513200.

The previous prime is 401513197. The next prime is 401513219. The reversal of 401513201 is 102315104.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 357966400 + 43546801 = 18920^2 + 6599^2 .

It is a cyclic number.

It is not a de Polignac number, because 401513201 - 2² = 401513197 is a prime.

It is a super-2 number, since 2×401513201² = 322425701154532802, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 401513201.

It is not a weakly prime, because it can be changed into another prime (401513251) 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, 200756600 + 200756601.

It is an arithmetic number, because the mean of its divisors is an integer number (200756601).

Almost surely, 2^401513201 is an apocalyptic number.

It is an amenable number.

401513201 is a deficient number, since it is larger than the sum of its proper divisors (1).

401513201 is an equidigital number, since it uses as much as digits as its factorization.

401513201 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 17.

The square root of 401513201 is about 20037.7943147443. The cubic root of 401513201 is about 737.7342439295.

Adding to 401513201 its reverse (102315104), we get a palindrome (503828305).

The spelling of 401513201 in words is "four hundred one million, five hundred thirteen thousand, two hundred one".