205300538633 has 24 divisors (see below), whose sum is σ = 221929744608. Its totient is φ = 189786820608.

The previous prime is 205300538629. The next prime is 205300538669. The reversal of 205300538633 is 336835003502.

It is a happy number.

It is not a de Polignac number, because 205300538633 - 2² = 205300538629 is a prime.

It is a super-2 number, since 2×205300538633² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (205300538603) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17426441 + ... + 17438217.

It is an arithmetic number, because the mean of its divisors is an integer number (9247072692).

Almost surely, 2^205300538633 is an apocalyptic number.

It is an amenable number.

205300538633 is a deficient number, since it is larger than the sum of its proper divisors (16629205975).

205300538633 is a wasteful number, since it uses less digits than its factorization.

205300538633 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12981 (or 12962 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 38.

The spelling of 205300538633 in words is "two hundred five billion, three hundred million, five hundred thirty-eight thousand, six hundred thirty-three".