205525122 has 64 divisors (see below), whose sum is σ = 463034880. Its totient is φ = 60278400.

The previous prime is 205525097. The next prime is 205525123. The reversal of 205525122 is 221525502.

It is a super-2 number, since 2×205525122² = 84481151546229768, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 205525092 and 205525101.

It is not an unprimeable number, because it can be changed into a prime (205525123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 394222 + ... + 394742.

It is an arithmetic number, because the mean of its divisors is an integer number (7234920).

Almost surely, 2^205525122 is an apocalyptic number.

205525122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 205525122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231517440).

205525122 is an abundant number, since it is smaller than the sum of its proper divisors (257509758).

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

205525122 is a wasteful number, since it uses less digits than its factorization.

205525122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 719.

The product of its (nonzero) digits is 2000, while the sum is 24.

The square root of 205525122 is about 14336.1473904254. The cubic root of 205525122 is about 590.1398902228.

The spelling of 205525122 in words is "two hundred five million, five hundred twenty-five thousand, one hundred twenty-two".