725338383013 has 2 divisors, whose sum is σ = 725338383014. Its totient is φ = 725338383012.

The previous prime is 725338382929. The next prime is 725338383023. The reversal of 725338383013 is 310383833527.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 631614846564 + 93723536449 = 794742^2 + 306143^2 .

It is an emirp because it is prime and its reverse (310383833527) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-725338383013 is a prime.

It is a super-2 number, since 2×725338383013² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (725338383023) 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, 362669191506 + 362669191507.

It is an arithmetic number, because the mean of its divisors is an integer number (362669191507).

Almost surely, 2^725338383013 is an apocalyptic number.

It is an amenable number.

725338383013 is a deficient number, since it is larger than the sum of its proper divisors (1).

725338383013 is an equidigital number, since it uses as much as digits as its factorization.

725338383013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1088640, while the sum is 46.

The spelling of 725338383013 in words is "seven hundred twenty-five billion, three hundred thirty-eight million, three hundred eighty-three thousand, thirteen".