205253213464520 has 128 divisors (see below), whose sum is σ = 507153012559200. Its totient is φ = 74293542395904.

The previous prime is 205253213464399. The next prime is 205253213464549. The reversal of 205253213464520 is 25464312352502.

It can be written as a sum of positive squares in 16 ways, for example, as 3391689455716 + 201861524008804 = 1841654^2 + 14207798^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29757746 + ... + 36000414.

Almost surely, 2^{205253213464520} is an apocalyptic number.

205253213464520 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 205253213464520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253576506279600).

205253213464520 is an abundant number, since it is smaller than the sum of its proper divisors (301899799094680).

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

205253213464520 is a wasteful number, since it uses less digits than its factorization.

205253213464520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6243939 (or 6243935 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 44.

The spelling of 205253213464520 in words is "two hundred five trillion, two hundred fifty-three billion, two hundred thirteen million, four hundred sixty-four thousand, five hundred twenty".