2137513 has 16 divisors (see below), whose sum is σ = 2557440. Its totient is φ = 1748736.

The previous prime is 2137507. The next prime is 2137517. The reversal of 2137513 is 3157312.

2137513 is nontrivially palindromic in base 9.

It is a cyclic number.

It is not a de Polignac number, because 2137513 - 2¹³ = 2129321 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2137517) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23973 + ... + 24061.

It is an arithmetic number, because the mean of its divisors is an integer number (159840).

2^2137513 is an apocalyptic number.

It is an amenable number.

2137513 is a deficient number, since it is larger than the sum of its proper divisors (419927).

2137513 is an equidigital number, since it uses as much as digits as its factorization.

2137513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216.

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

The square root of 2137513 is about 1462.0235976208. The cubic root of 2137513 is about 128.8159344315.

The spelling of 2137513 in words is "two million, one hundred thirty-seven thousand, five hundred thirteen".