2014513000 has 128 divisors (see below), whose sum is σ = 4994496000. Its totient is φ = 758419200.

The previous prime is 2014512979. The next prime is 2014513027. The reversal of 2014513000 is 3154102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4350769 + ... + 4351231.

It is an arithmetic number, because the mean of its divisors is an integer number (39019500).

Almost surely, 2^2014513000 is an apocalyptic number.

2014513000 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 2014513000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2497248000).

2014513000 is an abundant number, since it is smaller than the sum of its proper divisors (2979983000).

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

2014513000 is a wasteful number, since it uses less digits than its factorization.

2014513000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 732 (or 718 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 2014513000 is about 44883.3265255596. The cubic root of 2014513000 is about 1262.9612470131.

Adding to 2014513000 its reverse (3154102), we get a palindrome (2017667102).

The spelling of 2014513000 in words is "two billion, fourteen million, five hundred thirteen thousand".