205333413025 has 48 divisors (see below), whose sum is σ = 285492696048. Its totient is φ = 145506816000.

The previous prime is 205333413013. The next prime is 205333413049. The reversal of 205333413025 is 520314333502.

It can be written as a sum of positive squares in 24 ways, for example, as 177038136081 + 28295276944 = 420759^2 + 168212^2 .

It is not a de Polignac number, because 205333413025 - 2⁹ = 205333412513 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 686517 + ... + 939133.

It is an arithmetic number, because the mean of its divisors is an integer number (5947764501).

Almost surely, 2^205333413025 is an apocalyptic number.

205333413025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

205333413025 is a deficient number, since it is larger than the sum of its proper divisors (80159283023).

205333413025 is a wasteful number, since it uses less digits than its factorization.

205333413025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252742 (or 252737 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 31.

Adding to 205333413025 its reverse (520314333502), we get a palindrome (725647746527).

The spelling of 205333413025 in words is "two hundred five billion, three hundred thirty-three million, four hundred thirteen thousand, twenty-five".