725205240017 has 16 divisors (see below), whose sum is σ = 764066016000. Its totient is φ = 686414041344.

The previous prime is 725205240013. The next prime is 725205240037. The reversal of 725205240017 is 710042502527.

It is a cyclic number.

It is not a de Polignac number, because 725205240017 - 2² = 725205240013 is a prime.

It is a super-2 number, since 2×725205240017² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (725205240013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 185046584 + ... + 185050502.

It is an arithmetic number, because the mean of its divisors is an integer number (47754126000).

Almost surely, 2^725205240017 is an apocalyptic number.

It is an amenable number.

725205240017 is a deficient number, since it is larger than the sum of its proper divisors (38860775983).

725205240017 is a wasteful number, since it uses less digits than its factorization.

725205240017 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10280.

The product of its (nonzero) digits is 39200, while the sum is 35.

The spelling of 725205240017 in words is "seven hundred twenty-five billion, two hundred five million, two hundred forty thousand, seventeen".