205902131 has 2 divisors, whose sum is σ = 205902132. Its totient is φ = 205902130.

The previous prime is 205902091. The next prime is 205902157. The reversal of 205902131 is 131209502.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 205902131 - 2¹⁰ = 205901107 is a prime.

It is a super-2 number, since 2×205902131² = 84791375100682322, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 205902097 and 205902106.

It is not a weakly prime, because it can be changed into another prime (205902731) 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 as a sum of consecutive naturals, namely, 102951065 + 102951066.

It is an arithmetic number, because the mean of its divisors is an integer number (102951066).

Almost surely, 2^205902131 is an apocalyptic number.

205902131 is a deficient number, since it is larger than the sum of its proper divisors (1).

205902131 is an equidigital number, since it uses as much as digits as its factorization.

205902131 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 540, while the sum is 23.

The square root of 205902131 is about 14349.2902611941. The cubic root of 205902131 is about 590.5005146636.

The spelling of 205902131 in words is "two hundred five million, nine hundred two thousand, one hundred thirty-one".