10900912532409 has 27 divisors (see below), whose sum is σ = 15786485472303. Its totient is φ = 7248528235872.

The previous prime is 10900912532399. The next prime is 10900912532437. The reversal of 10900912532409 is 90423521900901.

The square root of 10900912532409 is 3301653.

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

10900912532409 is a `hidden beast` number, since 1 + 0 + 90 + 0 + 9 + 125 + 32 + 409 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4312080668025 + 6588831864384 = 2076555^2 + 2566872^2 .

It is a de Polignac number, because none of the positive numbers 2^k-10900912532409 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10900912542409) 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, 4585994829 + ... + 4585997205.

Almost surely, 2^{10900912532409} is an apocalyptic number.

10900912532409 is the 3301653-rd square number.

10900912532409 is the 1650827-th centered octagonal number.

It is an amenable number.

10900912532409 is a deficient number, since it is larger than the sum of its proper divisors (4885572939894).

10900912532409 is an frugal number, since it uses more digits than its factorization.

10900912532409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5686 (or 2843 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The spelling of 10900912532409 in words is "ten trillion, nine hundred billion, nine hundred twelve million, five hundred thirty-two thousand, four hundred nine".