205061500 has 96 divisors (see below), whose sum is σ = 524684160. Its totient is φ = 68544000.

The previous prime is 205061489. The next prime is 205061503. The reversal of 205061500 is 5160502.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205061503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 142786 + ... + 144214.

It is an arithmetic number, because the mean of its divisors is an integer number (5465460).

Almost surely, 2^205061500 is an apocalyptic number.

205061500 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 205061500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262342080).

205061500 is an abundant number, since it is smaller than the sum of its proper divisors (319622660).

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

205061500 is a wasteful number, since it uses less digits than its factorization.

205061500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1496 (or 1484 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 19.

The square root of 205061500 is about 14319.9685753845. The cubic root of 205061500 is about 589.6958117871.

The spelling of 205061500 in words is "two hundred five million, sixty-one thousand, five hundred".