31822855380625 has 45 divisors (see below), whose sum is σ = 40638388092951. Its totient is φ = 24911428800000.

The previous prime is 31822855380551. The next prime is 31822855380647. The reversal of 31822855380625 is 52608355822813.

The square root of 31822855380625 is 5641175.

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

It can be written as a sum of positive squares in 7 ways, for example, as 22277276654161 + 9545578726464 = 4719881^2 + 3089592^2 .

It is a de Polignac number, because none of the positive numbers 2^k-31822855380625 is a prime.

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 31822855380625.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 6628378225 + ... + 6628383025.

Almost surely, 2^{31822855380625} is an apocalyptic number.

31822855380625 is the 5641175-th square number.

31822855380625 is the 2820588-th centered octagonal number.

It is an amenable number.

31822855380625 is a deficient number, since it is larger than the sum of its proper divisors (8815532712326).

31822855380625 is an frugal number, since it uses more digits than its factorization.

31822855380625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9716 (or 4853 counting only the distinct ones).

The product of its (nonzero) digits is 27648000, while the sum is 58.

The spelling of 31822855380625 in words is "thirty-one trillion, eight hundred twenty-two billion, eight hundred fifty-five million, three hundred eighty thousand, six hundred twenty-five".