205161014025 has 120 divisors (see below), whose sum is σ = 428874336000. Its totient is φ = 96041635200.

The previous prime is 205161014017. The next prime is 205161014063. The reversal of 205161014025 is 520410161502.

205161014025 is a `hidden beast` number, since 2 + 0 + 5 + 1 + 610 + 1 + 40 + 2 + 5 = 666.

It is not a de Polignac number, because 205161014025 - 2³ = 205161014017 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 205161014025.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 487176 + ... + 804774.

It is an arithmetic number, because the mean of its divisors is an integer number (3573952800).

Almost surely, 2^205161014025 is an apocalyptic number.

205161014025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

205161014025 is an abundant number, since it is smaller than the sum of its proper divisors (223713321975).

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

205161014025 is a wasteful number, since it uses less digits than its factorization.

205161014025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317661 (or 317647 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

Adding to 205161014025 its reverse (520410161502), we get a palindrome (725571175527).

The spelling of 205161014025 in words is "two hundred five billion, one hundred sixty-one million, fourteen thousand, twenty-five".