205541150553 has 48 divisors (see below), whose sum is σ = 302842700160. Its totient is φ = 134314474752.

The previous prime is 205541150533. The next prime is 205541150569. The reversal of 205541150553 is 355051145502.

205541150553 is a `hidden beast` number, since 2 + 0 + 5 + 54 + 1 + 1 + 50 + 553 = 666.

It is not a de Polignac number, because 205541150553 - 2²² = 205536956249 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (205541150533) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 47368458 + ... + 47372796.

It is an arithmetic number, because the mean of its divisors is an integer number (6309222920).

Almost surely, 2^205541150553 is an apocalyptic number.

It is an amenable number.

205541150553 is a deficient number, since it is larger than the sum of its proper divisors (97301549607).

205541150553 is a wasteful number, since it uses less digits than its factorization.

205541150553 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4958 (or 4955 counting only the distinct ones).

The product of its (nonzero) digits is 75000, while the sum is 36.

The spelling of 205541150553 in words is "two hundred five billion, five hundred forty-one million, one hundred fifty thousand, five hundred fifty-three".