3137513 has 2 divisors, whose sum is σ = 3137514. Its totient is φ = 3137512.

The previous prime is 3137509. The next prime is 3137521. The reversal of 3137513 is 3157313.

3137513 = 1252² + 1253².

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1570009 + 1567504 = 1253^2 + 1252^2 .

It is an emirp because it is prime and its reverse (3157313) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 3137513 - 2² = 3137509 is a prime.

It is not a weakly prime, because it can be changed into another prime (3137573) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1568756 + 1568757.

It is an arithmetic number, because the mean of its divisors is an integer number (1568757).

Almost surely, 2^3137513 is an apocalyptic number.

3137513 is the 1253-rd centered square number.

It is an amenable number.

3137513 is a deficient number, since it is larger than the sum of its proper divisors (1).

3137513 is an equidigital number, since it uses as much as digits as its factorization.

3137513 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 945, while the sum is 23.

The square root of 3137513 is about 1771.3026280114. The cubic root of 3137513 is about 146.3957642827.

The spelling of 3137513 in words is "three million, one hundred thirty-seven thousand, five hundred thirteen".