205251564 has 48 divisors (see below), whose sum is σ = 549739008. Its totient is φ = 58386048.

The previous prime is 205251503. The next prime is 205251577. The reversal of 205251564 is 465152502.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 14329 + ... + 24815.

It is an arithmetic number, because the mean of its divisors is an integer number (11452896).

Almost surely, 2^205251564 is an apocalyptic number.

It is an amenable number.

205251564 is an abundant number, since it is smaller than the sum of its proper divisors (344487444).

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

205251564 is a wasteful number, since it uses less digits than its factorization.

205251564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10734 (or 10732 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

The square root of 205251564 is about 14326.6033657668. The cubic root of 205251564 is about 589.8779446838.

The spelling of 205251564 in words is "two hundred five million, two hundred fifty-one thousand, five hundred sixty-four".