205152225525 has 60 divisors (see below), whose sum is σ = 409244647812. Its totient is φ = 100998005760.

The previous prime is 205152225521. The next prime is 205152225547. The reversal of 205152225525 is 525522251502.

205152225525 is a `hidden beast` number, since 2 + 0 + 51 + 52 + 2 + 2 + 552 + 5 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 15663523716 + 189488701809 = 125154^2 + 435303^2 .

It is not a de Polignac number, because 205152225525 - 2² = 205152225521 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 205152225525.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205152225521) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3870204 + ... + 3922853.

Almost surely, 2^205152225525 is an apocalyptic number.

205152225525 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

205152225525 is a deficient number, since it is larger than the sum of its proper divisors (204092422287).

205152225525 is a wasteful number, since it uses less digits than its factorization.

205152225525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7793092 (or 7793078 counting only the distinct ones).

The product of its (nonzero) digits is 100000, while the sum is 36.

The spelling of 205152225525 in words is "two hundred five billion, one hundred fifty-two million, two hundred twenty-five thousand, five hundred twenty-five".