2013515140 has 96 divisors (see below), whose sum is σ = 5214666240. Its totient is φ = 635959296.

The previous prime is 2013515123. The next prime is 2013515143. The reversal of 2013515140 is 415153102.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2013515143) by changing a digit.

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, 1351516 + ... + 1353004.

It is an arithmetic number, because the mean of its divisors is an integer number (54319440).

Almost surely, 2^2013515140 is an apocalyptic number.

2013515140 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 2013515140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2607333120).

2013515140 is an abundant number, since it is smaller than the sum of its proper divisors (3201151100).

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

2013515140 is a wasteful number, since it uses less digits than its factorization.

2013515140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2261 (or 2259 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 22.

The square root of 2013515140 is about 44872.2089939865. The cubic root of 2013515140 is about 1262.7526826850.

Adding to 2013515140 its reverse (415153102), we get a palindrome (2428668242).

The spelling of 2013515140 in words is "two billion, thirteen million, five hundred fifteen thousand, one hundred forty".