205513024 has 28 divisors (see below), whose sum is σ = 421881300. Its totient is φ = 99212288.

The previous prime is 205513019. The next prime is 205513067. The reversal of 205513024 is 420315502.

It can be written as a sum of positive squares in 2 ways, for example, as 135489600 + 70023424 = 11640^2 + 8368^2 .

It is a junction number, because it is equal to n+sod(n) for n = 205512986 and 205513004.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 53509 + ... + 57220.

Almost surely, 2^205513024 is an apocalyptic number.

It is an amenable number.

205513024 is an abundant number, since it is smaller than the sum of its proper divisors (216368276).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

205513024 is a wasteful number, since it uses less digits than its factorization.

205513024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110770 (or 110760 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 22.

The square root of 205513024 is about 14335.7254437995. The cubic root of 205513024 is about 590.1283106935.

Adding to 205513024 its reverse (420315502), we get a palindrome (625828526).

The spelling of 205513024 in words is "two hundred five million, five hundred thirteen thousand, twenty-four".