205164125 has 16 divisors (see below), whose sum is σ = 264878640. Its totient is φ = 158468800.

The previous prime is 205164121. The next prime is 205164133. The reversal of 205164125 is 521461502.

It can be written as a sum of positive squares in 8 ways, for example, as 90117049 + 115047076 = 9493^2 + 10726^2 .

It is not a de Polignac number, because 205164125 - 2² = 205164121 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 205164094 and 205164103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205164121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24674 + ... + 31923.

It is an arithmetic number, because the mean of its divisors is an integer number (16554915).

Almost surely, 2^205164125 is an apocalyptic number.

205164125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

205164125 is a deficient number, since it is larger than the sum of its proper divisors (59714515).

205164125 is an equidigital number, since it uses as much as digits as its factorization.

205164125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56641 (or 56631 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 26.

The square root of 205164125 is about 14323.5514101776. The cubic root of 205164125 is about 589.7941683613.

The spelling of 205164125 in words is "two hundred five million, one hundred sixty-four thousand, one hundred twenty-five".