11037112506225 has 243 divisors, whose sum is σ = 22263812812449. Its totient is φ = 5425044206400.

The previous prime is 11037112506187. The next prime is 11037112506241. The reversal of 11037112506225 is 52260521173011.

The square root of 11037112506225 is 3322215.

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

11037112506225 is a `hidden beast` number, since 1 + 1 + 0 + 3 + 7 + 1 + 1 + 25 + 0 + 622 + 5 = 666.

11037112506225 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2844832075569 + 8192280430656 = 1686663^2 + 2862216^2 .

It is a tau number, because it is divible by the number of its divisors (243).

It is not a de Polignac number, because 11037112506225 - 2²³ = 11037104117617 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 11037112506225.

It is an unprimeable number.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 17491461660 + ... + 17491462290.

Almost surely, 2^{11037112506225} is an apocalyptic number.

11037112506225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

11037112506225 is the 3322215-th square number.

11037112506225 is the 1661108-th centered octagonal number.

It is an amenable number.

11037112506225 is an abundant number, since it is smaller than the sum of its proper divisors (11226700306224).

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

11037112506225 is an frugal number, since it uses more digits than its factorization.

11037112506225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1322 (or 652 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

Multiplying 11037112506225 by its sum of digits (36), we get a square (397336050224100 = 19933290²).

Adding to 11037112506225 its reverse (52260521173011), we get a palindrome (63297633679236).

The spelling of 11037112506225 in words is "eleven trillion, thirty-seven billion, one hundred twelve million, five hundred six thousand, two hundred twenty-five".