205131625 has 8 divisors (see below), whose sum is σ = 256004424. Its totient is φ = 164105200.

The previous prime is 205131601. The next prime is 205131649. The reversal of 205131625 is 526131502.

205131625 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (205131601) and next prime (205131649).

It can be written as a sum of positive squares in 4 ways, for example, as 6095961 + 199035664 = 2469^2 + 14108^2 .

It is not a de Polignac number, because 205131625 - 2¹¹ = 205129577 is a prime.

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 205131625.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 820402 + ... + 820651.

It is an arithmetic number, because the mean of its divisors is an integer number (32000553).

Almost surely, 2^205131625 is an apocalyptic number.

205131625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

205131625 is a deficient number, since it is larger than the sum of its proper divisors (50872799).

205131625 is an equidigital number, since it uses as much as digits as its factorization.

205131625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1641068 (or 1641058 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 25.

The square root of 205131625 is about 14322.4168700677. The cubic root of 205131625 is about 589.7630236656.

The spelling of 205131625 in words is "two hundred five million, one hundred thirty-one thousand, six hundred twenty-five".