205226553141 has 24 divisors (see below), whose sum is σ = 297999187200. Its totient is φ = 136097581536.

The previous prime is 205226553139. The next prime is 205226553199. The reversal of 205226553141 is 141355622502.

205226553141 is a `hidden beast` number, since 2 + 0 + 5 + 22 + 65 + 531 + 41 = 666.

It is not a de Polignac number, because 205226553141 - 2¹ = 205226553139 is a prime.

It is a super-2 number, since 2×205226553141² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 205226553096 and 205226553105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205226553541) 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, 16303536 + ... + 16316118.

It is an arithmetic number, because the mean of its divisors is an integer number (12416632800).

Almost surely, 2^205226553141 is an apocalyptic number.

It is an amenable number.

205226553141 is a deficient number, since it is larger than the sum of its proper divisors (92772634059).

205226553141 is a wasteful number, since it uses less digits than its factorization.

205226553141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21985 (or 21982 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 205226553141 in words is "two hundred five billion, two hundred twenty-six million, five hundred fifty-three thousand, one hundred forty-one".