127513 has 4 divisors (see below), whose sum is σ = 131940. Its totient is φ = 123088.

The previous prime is 127507. The next prime is 127529. The reversal of 127513 is 315721.

127513 = 252² + 253².

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 64009 + 63504 = 253^2 + 252^2 .

It is a cyclic number.

It is not a de Polignac number, because 127513 - 2⁵ = 127481 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (127583) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2170 + ... + 2227.

It is an arithmetic number, because the mean of its divisors is an integer number (32985).

2¹²⁷⁵¹³ is an apocalyptic number.

127513 is the 253-rd centered square number.

It is an amenable number.

127513 is a deficient number, since it is larger than the sum of its proper divisors (4427).

127513 is an equidigital number, since it uses as much as digits as its factorization.

127513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4426.

The product of its digits is 210, while the sum is 19.

The square root of 127513 is about 357.0896246042. The cubic root of 127513 is about 50.3328460206.

The spelling of 127513 in words is "one hundred twenty-seven thousand, five hundred thirteen".