666313000 has 64 divisors (see below), whose sum is σ = 1565600400. Its totient is φ = 265427200.

The previous prime is 666312991. The next prime is 666313003. The reversal of 666313000 is 313666.

It can be written as a sum of positive squares in 8 ways, for example, as 4485924 + 661827076 = 2118^2 + 25726^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (666313003) 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, 267762 + ... + 270238.

Almost surely, 2^666313000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 666313000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (782800200).

666313000 is an abundant number, since it is smaller than the sum of its proper divisors (899287400).

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

666313000 is a wasteful number, since it uses less digits than its factorization.

666313000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2767 (or 2753 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 25.

The square root of 666313000 is about 25813.0393406123. The cubic root of 666313000 is about 873.4259592658.

Adding to 666313000 its reverse (313666), we get a palindrome (666626666).

The spelling of 666313000 in words is "six hundred sixty-six million, three hundred thirteen thousand".