205761125 has 12 divisors (see below), whose sum is σ = 256990188. Its totient is φ = 164480600.

The previous prime is 205761121. The next prime is 205761131. The reversal of 205761125 is 521167502.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 6584356 + 199176769 = 2566^2 + 14113^2 .

It is not a de Polignac number, because 205761125 - 2² = 205761121 is a prime.

It is a super-2 number, since 2×205761125² = 84675281122531250, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205761121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 159734 + ... + 161016.

It is an arithmetic number, because the mean of its divisors is an integer number (21415849).

Almost surely, 2^205761125 is an apocalyptic number.

205761125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

205761125 is a deficient number, since it is larger than the sum of its proper divisors (51229063).

205761125 is an frugal number, since it uses more digits than its factorization.

205761125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2581 (or 1288 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 29.

The square root of 205761125 is about 14344.3760756612. The cubic root of 205761125 is about 590.3656882627.

The spelling of 205761125 in words is "two hundred five million, seven hundred sixty-one thousand, one hundred twenty-five".