205313064 has 64 divisors (see below), whose sum is σ = 561392640. Its totient is φ = 62055360.

The previous prime is 205313057. The next prime is 205313071. The reversal of 205313064 is 460313502.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (205313057) and next prime (205313071).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 137329 + ... + 138815.

It is an arithmetic number, because the mean of its divisors is an integer number (8771760).

Almost surely, 2^205313064 is an apocalyptic number.

205313064 is a gapful number since it is divisible by the number (24) 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 205313064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280696320).

205313064 is an abundant number, since it is smaller than the sum of its proper divisors (356079576).

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

205313064 is a wasteful number, since it uses less digits than its factorization.

205313064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2030 (or 2026 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 205313064 is about 14328.7495616331. The cubic root of 205313064 is about 589.9368542972.

Adding to 205313064 its reverse (460313502), we get a palindrome (665626566).

The spelling of 205313064 in words is "two hundred five million, three hundred thirteen thousand, sixty-four".