2005205251 has 8 divisors (see below), whose sum is σ = 2391300864. Its totient is φ = 1644019080.

The previous prime is 2005205221. The next prime is 2005205281. The reversal of 2005205251 is 1525025002.

It is an interprime number because it is at equal distance from previous prime (2005205221) and next prime (2005205281).

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2005205251 - 2⁵ = 2005205219 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2005205201) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6227185 + ... + 6227506.

It is an arithmetic number, because the mean of its divisors is an integer number (298912608).

Almost surely, 2^2005205251 is an apocalyptic number.

2005205251 is a deficient number, since it is larger than the sum of its proper divisors (386095613).

2005205251 is a wasteful number, since it uses less digits than its factorization.

2005205251 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12454721.

The product of its (nonzero) digits is 1000, while the sum is 22.

The square root of 2005205251 is about 44779.5182086632. The cubic root of 2005205251 is about 1261.0131372282.

The spelling of 2005205251 in words is "two billion, five million, two hundred five thousand, two hundred fifty-one".