205253513000 has 64 divisors (see below), whose sum is σ = 485048837520. Its totient is φ = 81288480000.

The previous prime is 205253512993. The next prime is 205253513033. The reversal of 205253513000 is 315352502.

It can be written as a sum of positive squares in 8 ways, for example, as 28502218276 + 176751294724 = 168826^2 + 420418^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 915107 + ... + 1117106.

Almost surely, 2^205253513000 is an apocalyptic number.

205253513000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

205253513000 is an abundant number, since it is smaller than the sum of its proper divisors (279795324520).

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

205253513000 is a wasteful number, since it uses less digits than its factorization.

205253513000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2032335 (or 2032321 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 26.

Adding to 205253513000 its reverse (315352502), we get a palindrome (205568865502).

The spelling of 205253513000 in words is "two hundred five billion, two hundred fifty-three million, five hundred thirteen thousand".