725206617 has 6 divisors (see below), whose sum is σ = 1047520682. Its totient is φ = 483471072.

The previous prime is 725206609. The next prime is 725206619. The reversal of 725206617 is 716602527.

725206617 is a `hidden beast` number, since 72 + 520 + 6 + 61 + 7 = 666.

It can be written as a sum of positive squares in only one way, i.e., 586414656 + 138791961 = 24216^2 + 11781^2 .

It is not a de Polignac number, because 725206617 - 2³ = 725206609 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (725206619) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 40289248 + ... + 40289265.

Almost surely, 2^725206617 is an apocalyptic number.

It is an amenable number.

725206617 is a deficient number, since it is larger than the sum of its proper divisors (322314065).

725206617 is a wasteful number, since it uses less digits than its factorization.

725206617 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80578519 (or 80578516 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 725206617 is about 26929.6605437202. The cubic root of 725206617 is about 898.4362214961.

The spelling of 725206617 in words is "seven hundred twenty-five million, two hundred six thousand, six hundred seventeen".