2513137144 has 64 divisors (see below), whose sum is σ = 5732640000. Its totient is φ = 1008868608.

The previous prime is 2513137139. The next prime is 2513137147. The reversal of 2513137144 is 4417313152.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2513137147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 81427 + ... + 107965.

It is an arithmetic number, because the mean of its divisors is an integer number (89572500).

Almost surely, 2^2513137144 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 2513137144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2866320000).

2513137144 is an abundant number, since it is smaller than the sum of its proper divisors (3219502856).

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

2513137144 is a wasteful number, since it uses less digits than its factorization.

2513137144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26660 (or 26656 counting only the distinct ones).

The product of its digits is 10080, while the sum is 31.

The square root of 2513137144 is about 50131.1993074173. The cubic root of 2513137144 is about 1359.5819692716.

The spelling of 2513137144 in words is "two billion, five hundred thirteen million, one hundred thirty-seven thousand, one hundred forty-four".