205051520 has 64 divisors (see below), whose sum is σ = 501668640. Its totient is φ = 80102400.

The previous prime is 205051519. The next prime is 205051529. The reversal of 205051520 is 25150502.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×205051520² = 84092251708620800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 205051492 and 205051501.

It is not an unprimeable number, because it can be changed into a prime (205051529) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23795 + ... + 31245.

Almost surely, 2^205051520 is an apocalyptic number.

205051520 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 205051520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250834320).

205051520 is an abundant number, since it is smaller than the sum of its proper divisors (296617120).

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

205051520 is an equidigital number, since it uses as much as digits as its factorization.

205051520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7513 (or 7501 counting only the distinct ones).

The product of its (nonzero) digits is 500, while the sum is 20.

The square root of 205051520 is about 14319.6201066928. The cubic root of 205051520 is about 589.6862451291.

The spelling of 205051520 in words is "two hundred five million, fifty-one thousand, five hundred twenty".