205413012025 has 24 divisors (see below), whose sum is σ = 278954645760. Its totient is φ = 149118584640.

The previous prime is 205413011977. The next prime is 205413012053. The reversal of 205413012025 is 520210314502.

It is not a de Polignac number, because 205413012025 - 2⁹ = 205413011513 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5337097 + ... + 5375446.

It is an arithmetic number, because the mean of its divisors is an integer number (11623110240).

Almost surely, 2^205413012025 is an apocalyptic number.

205413012025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

205413012025 is a deficient number, since it is larger than the sum of its proper divisors (73541633735).

205413012025 is a wasteful number, since it uses less digits than its factorization.

205413012025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10712625 (or 10712620 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

Adding to 205413012025 its reverse (520210314502), we get a palindrome (725623326527).

The spelling of 205413012025 in words is "two hundred five billion, four hundred thirteen million, twelve thousand, twenty-five".