205541350 has 48 divisors (see below), whose sum is σ = 440873568. Its totient is φ = 69834240.

The previous prime is 205541251. The next prime is 205541353. The reversal of 205541350 is 53145502.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205541353) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36952 + ... + 42148.

It is an arithmetic number, because the mean of its divisors is an integer number (9184866).

Almost surely, 2^205541350 is an apocalyptic number.

205541350 is an abundant number, since it is smaller than the sum of its proper divisors (235332218).

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

205541350 is a wasteful number, since it uses less digits than its factorization.

205541350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5329 (or 5324 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 25.

The square root of 205541350 is about 14336.7133611578. The cubic root of 205541350 is about 590.1554220436.

Adding to 205541350 its reverse (53145502), we get a palindrome (258686852).

It can be divided in two parts, 20554 and 1350, that added together give a square (21904 = 148²).

The spelling of 205541350 in words is "two hundred five million, five hundred forty-one thousand, three hundred fifty".