401610113 has 2 divisors, whose sum is σ = 401610114. Its totient is φ = 401610112.

The previous prime is 401610101. The next prime is 401610133. The reversal of 401610113 is 311016104.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 400480144 + 1129969 = 20012^2 + 1063^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-401610113 is a prime.

It is a super-2 number, since 2×401610113² = 322581365727745538, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 401610091 and 401610100.

It is not a weakly prime, because it can be changed into another prime (401610133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 200805056 + 200805057.

It is an arithmetic number, because the mean of its divisors is an integer number (200805057).

Almost surely, 2^401610113 is an apocalyptic number.

It is an amenable number.

401610113 is a deficient number, since it is larger than the sum of its proper divisors (1).

401610113 is an equidigital number, since it uses as much as digits as its factorization.

401610113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 17.

The square root of 401610113 is about 20040.2123990740. The cubic root of 401610113 is about 737.7935940326.

Adding to 401610113 its reverse (311016104), we get a palindrome (712626217).

The spelling of 401610113 in words is "four hundred one million, six hundred ten thousand, one hundred thirteen".