52262226225 has 108 divisors (see below), whose sum is σ = 104051738700. Its totient is φ = 25053388800.

The previous prime is 52262226223. The next prime is 52262226229.

52262226225 is a `hidden beast` number, since 5 + 2 + 2 + 6 + 2 + 22 + 622 + 5 = 666.

52262226225 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 6 ways, for example, as 17572418721 + 34689807504 = 132561^2 + 186252^2 .

It is not a de Polignac number, because 52262226225 - 2¹ = 52262226223 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 52262226225.

It is not an unprimeable number, because it can be changed into a prime (52262226223) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 2412241 + ... + 2433809.

It is an arithmetic number, because the mean of its divisors is an integer number (963442025).

Almost surely, 2^52262226225 is an apocalyptic number.

52262226225 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

52262226225 is a deficient number, since it is larger than the sum of its proper divisors (51789512475).

52262226225 is a wasteful number, since it uses less digits than its factorization.

52262226225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21696 (or 21677 counting only the distinct ones).

The product of its digits is 115200, while the sum is 36.

The spelling of 52262226225 in words is "fifty-two billion, two hundred sixty-two million, two hundred twenty-six thousand, two hundred twenty-five".