7488513 has 12 divisors (see below), whose sum is σ = 10878868. Its totient is φ = 4963680.

The previous prime is 7488511. The next prime is 7488521. The reversal of 7488513 is 3158847.

It can be written as a sum of positive squares in 2 ways, for example, as 263169 + 7225344 = 513^2 + 2688^2 .

It is not a de Polignac number, because 7488513 - 2¹ = 7488511 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (7488511) 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 in 11 ways as a sum of consecutive naturals, for example, 670 + ... + 3927.

Almost surely, 2^7488513 is an apocalyptic number.

It is an amenable number.

7488513 is a deficient number, since it is larger than the sum of its proper divisors (3390355).

7488513 is a wasteful number, since it uses less digits than its factorization.

7488513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4784 (or 4781 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The square root of 7488513 is about 2736.5147542084. The cubic root of 7488513 is about 195.6433974743.

It can be divided in two parts, 7488 and 513, that added together give a triangular number (8001 = T₁₂₆).

The spelling of 7488513 in words is "seven million, four hundred eighty-eight thousand, five hundred thirteen".