11297833500625 has 45 divisors (see below), whose sum is σ = 16423570313469. Its totient is φ = 7746682482000.

The previous prime is 11297833500617. The next prime is 11297833500647. The reversal of 11297833500625 is 52600533879211.

The square root of 11297833500625 is 3361225.

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

It can be written as a sum of positive squares in 2 ways, for example, as 885750146449 + 10412083354176 = 941143^2 + 3226776^2 .

It is not a de Polignac number, because 11297833500625 - 2³ = 11297833500617 is a prime.

It is a Duffinian number.

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, 588204772 + ... + 588223978.

Almost surely, 2^{11297833500625} is an apocalyptic number.

11297833500625 is the 3361225-th square number.

11297833500625 is the 1680613-rd centered octagonal number.

It is an amenable number.

11297833500625 is a deficient number, since it is larger than the sum of its proper divisors (5125736812844).

11297833500625 is an frugal number, since it uses more digits than its factorization.

11297833500625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38448 (or 19219 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 52.

The spelling of 11297833500625 in words is "eleven trillion, two hundred ninety-seven billion, eight hundred thirty-three million, five hundred thousand, six hundred twenty-five".