205265431 has 16 divisors (see below), whose sum is σ = 238141440. Its totient is φ = 173296800.

The previous prime is 205265407. The next prime is 205265441. The reversal of 205265431 is 134562502.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-205265431 is a prime.

It is a super-2 number, since 2×205265431² = 84267794327231522, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 205265431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205265441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 159850 + ... + 161128.

It is an arithmetic number, because the mean of its divisors is an integer number (14883840).

Almost surely, 2^205265431 is an apocalyptic number.

205265431 is a deficient number, since it is larger than the sum of its proper divisors (32876009).

205265431 is a wasteful number, since it uses less digits than its factorization.

205265431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1614.

The product of its (nonzero) digits is 7200, while the sum is 28.

The square root of 205265431 is about 14327.0873173859. The cubic root of 205265431 is about 589.8912286317.

The spelling of 205265431 in words is "two hundred five million, two hundred sixty-five thousand, four hundred thirty-one".