205041520 has 40 divisors (see below), whose sum is σ = 484812720. Its totient is φ = 80624640.

The previous prime is 205041517. The next prime is 205041523. The reversal of 205041520 is 25140502.

205041520 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 (205041517) and next prime (205041523).

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205041523) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17001 + ... + 26440.

It is an arithmetic number, because the mean of its divisors is an integer number (12120318).

Almost surely, 2^205041520 is an apocalyptic number.

205041520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

205041520 is an abundant number, since it is smaller than the sum of its proper divisors (279771200).

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

205041520 is a wasteful number, since it uses less digits than its factorization.

205041520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43513 (or 43507 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 19.

The square root of 205041520 is about 14319.2709311613. The cubic root of 205041520 is about 589.6766589882.

The spelling of 205041520 in words is "two hundred five million, forty-one thousand, five hundred twenty".