205253432120300 has 36 divisors (see below), whose sum is σ = 464765162823696. Its totient is φ = 78531747940800.

The previous prime is 205253432120291. The next prime is 205253432120309. The reversal of 205253432120300 is 3021234352502.

It is an interprime number because it is at equal distance from previous prime (205253432120291) and next prime (205253432120309).

It is not an unprimeable number, because it can be changed into a prime (205253432120309) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 44620309031 + ... + 44620313630.

Almost surely, 2^{205253432120300} is an apocalyptic number.

205253432120300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

205253432120300 is an abundant number, since it is smaller than the sum of its proper divisors (259511730703396).

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

205253432120300 is a wasteful number, since it uses less digits than its factorization.

205253432120300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89240622698 (or 89240622691 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 32.

Adding to 205253432120300 its reverse (3021234352502), we get a palindrome (208274666472802).

The spelling of 205253432120300 in words is "two hundred five trillion, two hundred fifty-three billion, four hundred thirty-two million, one hundred twenty thousand, three hundred".