413112757 has 2 divisors, whose sum is σ = 413112758. Its totient is φ = 413112756.

The previous prime is 413112731. The next prime is 413112809. The reversal of 413112757 is 757211314.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 347971716 + 65141041 = 18654^2 + 8071^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-413112757 is a prime.

It is a super-2 number, since 2×413112757² = 341324299992282098, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (413172757) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 206556378 + 206556379.

It is an arithmetic number, because the mean of its divisors is an integer number (206556379).

Almost surely, 2^413112757 is an apocalyptic number.

It is an amenable number.

413112757 is a deficient number, since it is larger than the sum of its proper divisors (1).

413112757 is an equidigital number, since it uses as much as digits as its factorization.

413112757 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 5880, while the sum is 31.

The square root of 413112757 is about 20325.1754481972. The cubic root of 413112757 is about 744.7711904877.

The spelling of 413112757 in words is "four hundred thirteen million, one hundred twelve thousand, seven hundred fifty-seven".