205245520 has 20 divisors (see below), whose sum is σ = 477196020. Its totient is φ = 82098176.

The previous prime is 205245511. The next prime is 205245529. The reversal of 205245520 is 25542502.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (205245511) and next prime (205245529).

It can be written as a sum of positive squares in 2 ways, for example, as 134281744 + 70963776 = 11588^2 + 8424^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205245529) 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 3 ways as a sum of consecutive naturals, for example, 1282705 + ... + 1282864.

It is an arithmetic number, because the mean of its divisors is an integer number (23859801).

Almost surely, 2^205245520 is an apocalyptic number.

205245520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

205245520 is an abundant number, since it is smaller than the sum of its proper divisors (271950500).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

205245520 is a wasteful number, since it uses less digits than its factorization.

205245520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2565582 (or 2565576 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 25.

The square root of 205245520 is about 14326.3924279632. The cubic root of 205245520 is about 589.8721546226.

The spelling of 205245520 in words is "two hundred five million, two hundred forty-five thousand, five hundred twenty".