205053302000 has 80 divisors (see below), whose sum is σ = 500453227872. Its totient is φ = 81254681600.

The previous prime is 205053301939. The next prime is 205053302033. The reversal of 205053302000 is 203350502.

205053302000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×205053302000² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 265097 + ... + 693096.

Almost surely, 2^205053302000 is an apocalyptic number.

205053302000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

205053302000 is an abundant number, since it is smaller than the sum of its proper divisors (295399925872).

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

205053302000 is a wasteful number, since it uses less digits than its factorization.

205053302000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 958323 (or 958307 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 20.

Adding to 205053302000 its reverse (203350502), we get a palindrome (205256652502).

The spelling of 205053302000 in words is "two hundred five billion, fifty-three million, three hundred two thousand".