7125313 has 8 divisors (see below), whose sum is σ = 7698600. Its totient is φ = 6555648.

The previous prime is 7125299. The next prime is 7125337. The reversal of 7125313 is 3135217.

7125313 = 1887² + 1888².

It can be written as a sum of positive squares in 4 ways, for example, as 535824 + 6589489 = 732^2 + 2567^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 7125313 - 2⁵ = 7125281 is a prime.

It is not an unprimeable number, because it can be changed into a prime (7125353) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4353 + ... + 5761.

It is an arithmetic number, because the mean of its divisors is an integer number (962325).

Almost surely, 2^7125313 is an apocalyptic number.

7125313 is the 1888-th centered square number.

It is an amenable number.

7125313 is a deficient number, since it is larger than the sum of its proper divisors (573287).

7125313 is a wasteful number, since it uses less digits than its factorization.

7125313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1811.

The product of its digits is 630, while the sum is 22.

The square root of 7125313 is about 2669.3281926357. The cubic root of 7125313 is about 192.4278742556.

The spelling of 7125313 in words is "seven million, one hundred twenty-five thousand, three hundred thirteen".