725006322225 has 18 divisors (see below), whose sum is σ = 1298566879766. Its totient is φ = 386670038400.

The previous prime is 725006322199. The next prime is 725006322239. The reversal of 725006322225 is 522223600527.

725006322225 is a `hidden beast` number, since 72 + 500 + 63 + 2 + 2 + 2 + 25 = 666.

725006322225 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 112048859169 + 612957463056 = 334737^2 + 782916^2 .

It is not a de Polignac number, because 725006322225 - 2⁵ = 725006322193 is a prime.

It is a super-3 number, since 3×725006322225³ (a number of 37 digits) contains 333 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 725006322225.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1611124936 + ... + 1611125385.

Almost surely, 2^725006322225 is an apocalyptic number.

725006322225 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

It is an amenable number.

725006322225 is a deficient number, since it is larger than the sum of its proper divisors (573560557541).

725006322225 is a wasteful number, since it uses less digits than its factorization.

725006322225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3222250337 (or 3222250329 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

The spelling of 725006322225 in words is "seven hundred twenty-five billion, six million, three hundred twenty-two thousand, two hundred twenty-five".