725561217 has 12 divisors (see below), whose sum is σ = 1048854144. Its totient is φ = 483328440.

The previous prime is 725561203. The next prime is 725561233. The reversal of 725561217 is 712165527.

725561217 is a `hidden beast` number, since 7 + 25 + 5 + 612 + 17 = 666.

It is not a de Polignac number, because 725561217 - 2¹¹ = 725559169 is a prime.

It is a super-2 number, since 2×725561217² = 1052878159229042178, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (725561917) 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 in 11 ways as a sum of consecutive naturals, for example, 19209 + ... + 42662.

It is an arithmetic number, because the mean of its divisors is an integer number (87404512).

Almost surely, 2^725561217 is an apocalyptic number.

It is an amenable number.

725561217 is a deficient number, since it is larger than the sum of its proper divisors (323292927).

725561217 is a wasteful number, since it uses less digits than its factorization.

725561217 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63180 (or 63177 counting only the distinct ones).

The product of its digits is 29400, while the sum is 36.

The square root of 725561217 is about 26936.2435577049. The cubic root of 725561217 is about 898.5826319880.

The spelling of 725561217 in words is "seven hundred twenty-five million, five hundred sixty-one thousand, two hundred seventeen".