19013 has 2 divisors, whose sum is σ = 19014. Its totient is φ = 19012.

The previous prime is 19009. The next prime is 19031. The reversal of 19013 is 31091.

19013 = 97² + 98².

Together with next prime (19031) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9604 + 9409 = 98^2 + 97^2 .

It is an emirp because it is prime and its reverse (31091) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 19013 - 2² = 19009 is a prime.

It is a super-2 number, since 2×19013² = 722988338, which contains 22 as substring.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (19073) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 9506 + 9507.

It is an arithmetic number, because the mean of its divisors is an integer number (9507).

2¹⁹⁰¹³ is an apocalyptic number.

19013 is the 98-th centered square number.

It is an amenable number.

19013 is a deficient number, since it is larger than the sum of its proper divisors (1).

19013 is an equidigital number, since it uses as much as digits as its factorization.

19013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 27, while the sum is 14.

The square root of 19013 is about 137.8876354138. The cubic root of 19013 is about 26.6901009281.

The spelling of 19013 in words is "nineteen thousand, thirteen".