205761051 has 24 divisors (see below), whose sum is σ = 313656720. Its totient is φ = 129620736.

The previous prime is 205761041. The next prime is 205761077. The reversal of 205761051 is 150167502.

It is not a de Polignac number, because 205761051 - 2⁶ = 205760987 is a prime.

It is a super-2 number, since 2×205761051² = 84675220217249202, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (205761011) 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 23 ways as a sum of consecutive naturals, for example, 76831 + ... + 79463.

It is an arithmetic number, because the mean of its divisors is an integer number (13069030).

Almost surely, 2^205761051 is an apocalyptic number.

205761051 is a deficient number, since it is larger than the sum of its proper divisors (107895669).

205761051 is a wasteful number, since it uses less digits than its factorization.

205761051 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3115 (or 3112 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 27.

The square root of 205761051 is about 14344.3734962528. The cubic root of 205761051 is about 590.3656174896.

The spelling of 205761051 in words is "two hundred five million, seven hundred sixty-one thousand, fifty-one".