403252013 has 2 divisors, whose sum is σ = 403252014. Its totient is φ = 403252012.

The previous prime is 403251983. The next prime is 403252027. The reversal of 403252013 is 310252304.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 230644969 + 172607044 = 15187^2 + 13138^2 .

It is a cyclic number.

It is not a de Polignac number, because 403252013 - 2⁶ = 403251949 is a prime.

It is a super-2 number, since 2×403252013² = 325224371977104338, which contains 22 as substring.

It is equal to p_21500336 and since 403252013 and 21500336 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (403252043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 201626006 + 201626007.

It is an arithmetic number, because the mean of its divisors is an integer number (201626007).

Almost surely, 2^403252013 is an apocalyptic number.

It is an amenable number.

403252013 is a deficient number, since it is larger than the sum of its proper divisors (1).

403252013 is an equidigital number, since it uses as much as digits as its factorization.

403252013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 403252013 is about 20081.1357497528. The cubic root of 403252013 is about 738.7976658691.

The spelling of 403252013 in words is "four hundred three million, two hundred fifty-two thousand, thirteen".