413537513 has 2 divisors, whose sum is σ = 413537514. Its totient is φ = 413537512.

The previous prime is 413537507. The next prime is 413537543. The reversal of 413537513 is 315735314.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 217621504 + 195916009 = 14752^2 + 13997^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-413537513 is a prime.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 413537513.

It is not a weakly prime, because it can be changed into another prime (413537503) 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, 206768756 + 206768757.

It is an arithmetic number, because the mean of its divisors is an integer number (206768757).

Almost surely, 2^413537513 is an apocalyptic number.

It is an amenable number.

413537513 is a deficient number, since it is larger than the sum of its proper divisors (1).

413537513 is an equidigital number, since it uses as much as digits as its factorization.

413537513 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 18900, while the sum is 32.

The square root of 413537513 is about 20335.6217755937. The cubic root of 413537513 is about 745.0263570394.

The spelling of 413537513 in words is "four hundred thirteen million, five hundred thirty-seven thousand, five hundred thirteen".