10576682649 has 63 divisors (see below), whose sum is σ = 17230236717. Its totient is φ = 6486513696.

The previous prime is 10576682639. The next prime is 10576682657. The reversal of 10576682649 is 94628667501.

The square root of 10576682649 is 102843.

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

10576682649 is a `hidden beast` number, since 1 + 0 + 576 + 6 + 8 + 2 + 64 + 9 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 270372249 + 10306310400 = 16443^2 + 101520^2 .

It is not a de Polignac number, because 10576682649 - 2¹¹ = 10576680601 is a prime.

It is a super-2 number, since 2×10576682649² (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 10576682595 and 10576682604.

It is not an unprimeable number, because it can be changed into a prime (10576682639) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 36097747 + ... + 36098039.

Almost surely, 2^10576682649 is an apocalyptic number.

10576682649 is the 102843-rd square number.

10576682649 is the 51422-nd centered octagonal number.

It is an amenable number.

10576682649 is a deficient number, since it is larger than the sum of its proper divisors (6653554068).

10576682649 is an frugal number, since it uses more digits than its factorization.

10576682649 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 630 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 10576682649 in words is "ten billion, five hundred seventy-six million, six hundred eighty-two thousand, six hundred forty-nine".