413252131 has 2 divisors, whose sum is σ = 413252132. Its totient is φ = 413252130.

The previous prime is 413252123. The next prime is 413252137. The reversal of 413252131 is 131252314.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 413252131 - 2³ = 413252123 is a prime.

It is a super-2 number, since 2×413252131² = 341554647552082322, which contains 22 as substring.

It is equal to p_22004671 and since 413252131 and 22004671 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (413252137) 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, 206626065 + 206626066.

It is an arithmetic number, because the mean of its divisors is an integer number (206626066).

Almost surely, 2^413252131 is an apocalyptic number.

413252131 is a deficient number, since it is larger than the sum of its proper divisors (1).

413252131 is an equidigital number, since it uses as much as digits as its factorization.

413252131 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 720, while the sum is 22.

The square root of 413252131 is about 20328.6037641546. The cubic root of 413252131 is about 744.8549368474.

The spelling of 413252131 in words is "four hundred thirteen million, two hundred fifty-two thousand, one hundred thirty-one".