725218640082 has 48 divisors (see below), whose sum is σ = 1614118610520. Its totient is φ = 235155937536.

The previous prime is 725218640009. The next prime is 725218640117. The reversal of 725218640082 is 280046812527.

725218640082 is a `hidden beast` number, since 7 + 2 + 521 + 8 + 6 + 40 + 0 + 82 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 713246122521 + 11972517561 = 844539^2 + 109419^2 .

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 3078544 + ... + 3305732.

Almost surely, 2^725218640082 is an apocalyptic number.

725218640082 is an abundant number, since it is smaller than the sum of its proper divisors (888899970438).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

725218640082 is a wasteful number, since it uses less digits than its factorization.

725218640082 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232027 (or 232024 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 725218640082 in words is "seven hundred twenty-five billion, two hundred eighteen million, six hundred forty thousand, eighty-two".