10825570116 has 27 divisors (see below), whose sum is σ = 27366213693. Its totient is φ = 3608315280.

The previous prime is 10825570111. The next prime is 10825570127. The reversal of 10825570116 is 61107552801.

The square root of 10825570116 is 104046.

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

10825570116 is a `hidden beast` number, since 1 + 0 + 82 + 5 + 570 + 1 + 1 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 9752352516 + 1073217600 = 98754^2 + 32760^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (10825570111) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 615606 + ... + 632946.

Almost surely, 2^10825570116 is an apocalyptic number.

10825570116 is the 104046-th square number.

It is an amenable number.

10825570116 is an abundant number, since it is smaller than the sum of its proper divisors (16540643577).

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

10825570116 is an frugal number, since it uses more digits than its factorization.

10825570116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34692 (or 17346 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 36.

Multiplying 10825570116 by its sum of digits (36), we get a square (389720524176 = 624276²).

10825570116 divided by its sum of digits (36) gives a square (300710281 = 17341²).

The spelling of 10825570116 in words is "ten billion, eight hundred twenty-five million, five hundred seventy thousand, one hundred sixteen".