10731509649 has 27 divisors (see below), whose sum is σ = 18035512443. Its totient is φ = 6131048112.

The previous prime is 10731509647. The next prime is 10731509687. The reversal of 10731509649 is 94690513701.

The square root of 10731509649 is 103593.

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

10731509649 is a `hidden beast` number, since 10 + 73 + 1 + 509 + 64 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3347201025 + 7384308624 = 57855^2 + 85932^2 .

It is not a de Polignac number, because 10731509649 - 2¹ = 10731509647 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10731509647) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2172987 + ... + 2177919.

Almost surely, 2^10731509649 is an apocalyptic number.

10731509649 is the 103593-rd square number.

10731509649 is the 51797-th centered octagonal number.

It is an amenable number.

10731509649 is a deficient number, since it is larger than the sum of its proper divisors (7304002794).

10731509649 is an frugal number, since it uses more digits than its factorization.

10731509649 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9886 (or 4943 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The spelling of 10731509649 in words is "ten billion, seven hundred thirty-one million, five hundred nine thousand, six hundred forty-nine".