205195410225 has 243 divisors, whose sum is σ = 420189278691. Its totient is φ = 95670432000.

The previous prime is 205195410143. The next prime is 205195410269. The reversal of 205195410225 is 522014591502.

The square root of 205195410225 is 452985.

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

205195410225 is a `hidden beast` number, since 2 + 0 + 5 + 19 + 5 + 410 + 225 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 91629106209 + 113566304016 = 302703^2 + 336996^2 .

It is not a de Polignac number, because 205195410225 - 2¹⁹ = 205194885937 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 205195410225.

It is an unprimeable number.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 2031637675 + ... + 2031637775.

Almost surely, 2^205195410225 is an apocalyptic number.

205195410225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

205195410225 is the 452985-th square number.

205195410225 is the 226493-rd centered octagonal number.

It is an amenable number.

205195410225 is an abundant number, since it is smaller than the sum of its proper divisors (214993868466).

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

205195410225 is a wasteful number, since it uses less digits than its factorization.

205195410225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

Multiplying 205195410225 by its sum of digits (36), we get a square (7387034768100 = 2717910²).

The spelling of 205195410225 in words is "two hundred five billion, one hundred ninety-five million, four hundred ten thousand, two hundred twenty-five".