205513137 has 12 divisors (see below), whose sum is σ = 297519300. Its totient is φ = 136700928.

The previous prime is 205513123. The next prime is 205513159. The reversal of 205513137 is 731315502.

It can be written as a sum of positive squares in 2 ways, for example, as 57744801 + 147768336 = 7599^2 + 12156^2 .

It is not a de Polignac number, because 205513137 - 2¹² = 205509041 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 205513137.

It is not an unprimeable number, because it can be changed into a prime (205513117) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21388 + ... + 29469.

It is an arithmetic number, because the mean of its divisors is an integer number (24793275).

Almost surely, 2^205513137 is an apocalyptic number.

It is an amenable number.

205513137 is a deficient number, since it is larger than the sum of its proper divisors (92006163).

205513137 is a wasteful number, since it uses less digits than its factorization.

205513137 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51312 (or 51309 counting only the distinct ones).

The product of its (nonzero) digits is 3150, while the sum is 27.

The square root of 205513137 is about 14335.7293850017. The cubic root of 205513137 is about 590.1284188529.

Adding to 205513137 its reverse (731315502), we get a palindrome (936828639).

The spelling of 205513137 in words is "two hundred five million, five hundred thirteen thousand, one hundred thirty-seven".