725591281417 has 2 divisors, whose sum is σ = 725591281418. Its totient is φ = 725591281416.

The previous prime is 725591281397. The next prime is 725591281451. The reversal of 725591281417 is 714182195527.

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., 688873440256 + 36717841161 = 829984^2 + 191619^2 .

It is an emirp because it is prime and its reverse (714182195527) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 725591281417 - 2³⁵ = 691231543049 is a prime.

It is not a weakly prime, because it can be changed into another prime (725591281117) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 362795640708 + 362795640709.

It is an arithmetic number, because the mean of its divisors is an integer number (362795640709).

Almost surely, 2^725591281417 is an apocalyptic number.

It is an amenable number.

725591281417 is a deficient number, since it is larger than the sum of its proper divisors (1).

725591281417 is an equidigital number, since it uses as much as digits as its factorization.

725591281417 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1411200, while the sum is 52.

The spelling of 725591281417 in words is "seven hundred twenty-five billion, five hundred ninety-one million, two hundred eighty-one thousand, four hundred seventeen".