11537982225 has 405 divisors, whose sum is σ = 28237276683. Its totient is φ = 4640328000.

The previous prime is 11537982217. The next prime is 11537982227. The reversal of 11537982225 is 52228973511.

The square root of 11537982225 is 107415.

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

11537982225 is a `hidden beast` number, since 1 + 1 + 537 + 98 + 2 + 2 + 25 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4153673601 + 7384308624 = 64449^2 + 85932^2 .

It is a tau number, because it is divible by the number of its divisors (405).

It is not a de Polignac number, because 11537982225 - 2³ = 11537982217 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

Its product of digits (302400) is a multiple of the sum of its prime factors (120).

It is not an unprimeable number, because it can be changed into a prime (11537982227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 404 ways as a sum of consecutive naturals, for example, 372192960 + ... + 372192990.

Almost surely, 2^11537982225 is an apocalyptic number.

11537982225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

11537982225 is the 107415-th square number.

11537982225 is the 53708-th centered octagonal number.

It is an amenable number.

11537982225 is an abundant number, since it is smaller than the sum of its proper divisors (16699294458).

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

11537982225 is a wasteful number, since it uses less digits than its factorization.

11537982225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 57 counting only the distinct ones).

The product of its digits is 302400, while the sum is 45.

The spelling of 11537982225 in words is "eleven billion, five hundred thirty-seven million, nine hundred eighty-two thousand, two hundred twenty-five".