2513152 has 18 divisors (see below), whose sum is σ = 5016998. Its totient is φ = 1256448.

The previous prime is 2513143. The next prime is 2513153.

2513152 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 2509056 + 4096 = 1584^2 + 64^2 .

It is not an unprimeable number, because it can be changed into a prime (2513153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4653 + ... + 5164.

2^2513152 is an apocalyptic number.

It is an amenable number.

2513152 is a deficient number, since it is larger than the sum of its proper divisors (2503846).

2513152 is an frugal number, since it uses more digits than its factorization.

2513152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9833 (or 9819 counting only the distinct ones).

The product of its digits is 300, while the sum is 19.

The square root of 2513152 is about 1585.2924020508. The cubic root of 2513152 is about 135.9584648249.

It can be divided in two parts, 251 and 3152, that added together give a triangular number (3403 = T₈₂).

The spelling of 2513152 in words is "two million, five hundred thirteen thousand, one hundred fifty-two".