205041351065 has 32 divisors (see below), whose sum is σ = 261759405600. Its totient is φ = 153653248000.

The previous prime is 205041351041. The next prime is 205041351089. The reversal of 205041351065 is 560153140502.

205041351065 = 320188² + 320189².

It is an interprime number because it is at equal distance from previous prime (205041351041) and next prime (205041351089).

It can be written as a sum of positive squares in 16 ways, for example, as 184633744 + 204856717321 = 13588^2 + 452611^2 .

It is not a de Polignac number, because 205041351065 - 2¹⁶ = 205041285529 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15706661 + ... + 15719709.

It is an arithmetic number, because the mean of its divisors is an integer number (8179981425).

Almost surely, 2^205041351065 is an apocalyptic number.

205041351065 is the 369722-nd pentagonal number.

205041351065 is the 320189-th centered square number.

It is an amenable number.

205041351065 is a deficient number, since it is larger than the sum of its proper divisors (56718054535).

205041351065 is a wasteful number, since it uses less digits than its factorization.

205041351065 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13933.

The product of its (nonzero) digits is 18000, while the sum is 32.

Adding to 205041351065 its reverse (560153140502), we get a palindrome (765194491567).

The spelling of 205041351065 in words is "two hundred five billion, forty-one million, three hundred fifty-one thousand, sixty-five".