13730513 has 2 divisors, whose sum is σ = 13730514. Its totient is φ = 13730512.

The previous prime is 13730501. The next prime is 13730537. The reversal of 13730513 is 31503731.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 12623809 + 1106704 = 3553^2 + 1052^2 .

It is a cyclic number.

It is not a de Polignac number, because 13730513 - 2²⁰ = 12681937 is a prime.

It is not a weakly prime, because it can be changed into another prime (13730593) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6865256 + 6865257.

It is an arithmetic number, because the mean of its divisors is an integer number (6865257).

Almost surely, 2^13730513 is an apocalyptic number.

It is an amenable number.

13730513 is a deficient number, since it is larger than the sum of its proper divisors (1).

13730513 is an equidigital number, since it uses as much as digits as its factorization.

13730513 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 945, while the sum is 23.

The square root of 13730513 is about 3705.4706853516. The cubic root of 13730513 is about 239.4577631043.

The spelling of 13730513 in words is "thirteen million, seven hundred thirty thousand, five hundred thirteen".