610140643225 has 27 divisors (see below), whose sum is σ = 783708264157. Its totient is φ = 471193563680.

The previous prime is 610140643201. The next prime is 610140643237. The reversal of 610140643225 is 522346041016.

The square root of 610140643225 is 781115.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 8386713241 + 601753929984 = 91579^2 + 775728^2 .

It is not a de Polignac number, because 610140643225 - 2⁵ = 610140643193 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 113258982 + ... + 113264368.

Almost surely, 2^610140643225 is an apocalyptic number.

610140643225 is the 781115-th square number.

610140643225 is the 390558-th centered octagonal number.

It is an amenable number.

610140643225 is a deficient number, since it is larger than the sum of its proper divisors (173567620932).

610140643225 is an frugal number, since it uses more digits than its factorization.

610140643225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10842 (or 5421 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 34.

The spelling of 610140643225 in words is "six hundred ten billion, one hundred forty million, six hundred forty-three thousand, two hundred twenty-five".