205542126 has 24 divisors (see below), whose sum is σ = 446420520. Its totient is φ = 68348016.

The previous prime is 205542119. The next prime is 205542149. The reversal of 205542126 is 621245502.

It is a super-3 number, since 3×205542126³ (a number of 26 digits) contains 333 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 205542126.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6085 + ... + 21168.

It is an arithmetic number, because the mean of its divisors is an integer number (18600855).

Almost surely, 2^205542126 is an apocalyptic number.

205542126 is an abundant number, since it is smaller than the sum of its proper divisors (240878394).

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

205542126 is a wasteful number, since it uses less digits than its factorization.

205542126 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27680 (or 27677 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 205542126 is about 14336.7404245177. The cubic root of 205542126 is about 590.1561647328.

Adding to 205542126 its reverse (621245502), we get a palindrome (826787628).

The spelling of 205542126 in words is "two hundred five million, five hundred forty-two thousand, one hundred twenty-six".