41133924225 has 45 divisors (see below), whose sum is σ = 76211156307. Its totient is φ = 21933225360.

The previous prime is 41133924137. The next prime is 41133924229. The reversal of 41133924225 is 52242933114.

The square root of 41133924225 is 202815.

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

41133924225 is a `hidden beast` number, since 41 + 1 + 3 + 392 + 4 + 225 = 666.

It can be written as a sum of positive squares in only one way, i.e., 14808212721 + 26325711504 = 121689^2 + 162252^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 41133924225 - 2¹⁵ = 41133891457 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 41133924225.

It is not an unprimeable number, because it can be changed into a prime (41133924229) 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 44 ways as a sum of consecutive naturals, for example, 9124422 + ... + 9128928.

Almost surely, 2^41133924225 is an apocalyptic number.

41133924225 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

41133924225 is the 202815-th square number.

41133924225 is the 101408-th centered octagonal number.

It is an amenable number.

41133924225 is a deficient number, since it is larger than the sum of its proper divisors (35077232082).

41133924225 is an frugal number, since it uses more digits than its factorization.

41133924225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9036 (or 4515 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

Multiplying 41133924225 by its sum of digits (36), we get a square (1480821272100 = 1216890²).

The spelling of 41133924225 in words is "forty-one billion, one hundred thirty-three million, nine hundred twenty-four thousand, two hundred twenty-five".