413752513 has 2 divisors, whose sum is σ = 413752514. Its totient is φ = 413752512.

The previous prime is 413752501. The next prime is 413752519. The reversal of 413752513 is 315257314.

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., 353891344 + 59861169 = 18812^2 + 7737^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-413752513 is a prime.

It is a super-2 number, since 2×413752513² = 342382284027630338, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (413752519) 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, 206876256 + 206876257.

It is an arithmetic number, because the mean of its divisors is an integer number (206876257).

Almost surely, 2^413752513 is an apocalyptic number.

It is an amenable number.

413752513 is a deficient number, since it is larger than the sum of its proper divisors (1).

413752513 is an equidigital number, since it uses as much as digits as its factorization.

413752513 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 12600, while the sum is 31.

The square root of 413752513 is about 20340.9073789740. The cubic root of 413752513 is about 745.1554488470.

The spelling of 413752513 in words is "four hundred thirteen million, seven hundred fifty-two thousand, five hundred thirteen".