205525540 has 48 divisors (see below), whose sum is σ = 475743744. Its totient is φ = 73958400.

The previous prime is 205525519. The next prime is 205525543. The reversal of 205525540 is 45525502.

It is a junction number, because it is equal to n+sod(n) for n = 205525499 and 205525508.

It is not an unprimeable number, because it can be changed into a prime (205525543) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16525 + ... + 26155.

It is an arithmetic number, because the mean of its divisors is an integer number (9911328).

Almost surely, 2^205525540 is an apocalyptic number.

205525540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 205525540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237871872).

205525540 is an abundant number, since it is smaller than the sum of its proper divisors (270218204).

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

205525540 is a wasteful number, since it uses less digits than its factorization.

205525540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9748 (or 9746 counting only the distinct ones).

The product of its (nonzero) digits is 10000, while the sum is 28.

The square root of 205525540 is about 14336.1619689511. The cubic root of 205525540 is about 590.1402903009.

The spelling of 205525540 in words is "two hundred five million, five hundred twenty-five thousand, five hundred forty".