205251500 has 48 divisors (see below), whose sum is σ = 449729280. Its totient is φ = 81833600.

The previous prime is 205251479. The next prime is 205251503. The reversal of 205251500 is 5152502.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (205251503) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 239072 + ... + 239928.

It is an arithmetic number, because the mean of its divisors is an integer number (9369360).

Almost surely, 2^205251500 is an apocalyptic number.

205251500 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 205251500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224864640).

205251500 is an abundant number, since it is smaller than the sum of its proper divisors (244477780).

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

205251500 is a wasteful number, since it uses less digits than its factorization.

205251500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1355 (or 1343 counting only the distinct ones).

The product of its (nonzero) digits is 500, while the sum is 20.

The square root of 205251500 is about 14326.6011321597. The cubic root of 205251500 is about 589.8778833733.

The spelling of 205251500 in words is "two hundred five million, two hundred fifty-one thousand, five hundred".