205051302 has 48 divisors (see below), whose sum is σ = 466352640. Its totient is φ = 64989936.

The previous prime is 205051261. The next prime is 205051303. The reversal of 205051302 is 203150502.

It is a happy number.

205051302 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205051303) 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, 72723 + ... + 75489.

It is an arithmetic number, because the mean of its divisors is an integer number (9715680).

Almost surely, 2^205051302 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 205051302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233176320).

205051302 is an abundant number, since it is smaller than the sum of its proper divisors (261301338).

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

205051302 is a wasteful number, since it uses less digits than its factorization.

205051302 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2977 (or 2974 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 205051302 is about 14319.6124947570. The cubic root of 205051302 is about 589.6860361546.

The spelling of 205051302 in words is "two hundred five million, fifty-one thousand, three hundred two".