205145125 has 8 divisors (see below), whose sum is σ = 256021272. Its totient is φ = 164116000.

The previous prime is 205145123. The next prime is 205145153. The reversal of 205145125 is 521541502.

It can be written as a sum of positive squares in 4 ways, for example, as 61121124 + 144024001 = 7818^2 + 12001^2 .

It is not a de Polignac number, because 205145125 - 2¹ = 205145123 is a prime.

It is a super-2 number, since 2×205145125² = 84169044622531250, which contains 22 as substring.

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

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

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 205145125.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205145123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 820456 + ... + 820705.

It is an arithmetic number, because the mean of its divisors is an integer number (32002659).

Almost surely, 2^205145125 is an apocalyptic number.

205145125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

205145125 is a deficient number, since it is larger than the sum of its proper divisors (50876147).

205145125 is an equidigital number, since it uses as much as digits as its factorization.

205145125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1641176 (or 1641166 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 25.

The square root of 205145125 is about 14322.8881514868. Note that the first 3 decimals coincide. The cubic root of 205145125 is about 589.7759610925.

Adding to 205145125 its reverse (521541502), we get a palindrome (726686627).

The spelling of 205145125 in words is "two hundred five million, one hundred forty-five thousand, one hundred twenty-five".