80513 has 2 divisors, whose sum is σ = 80514. Its totient is φ = 80512.

The previous prime is 80491. The next prime is 80527. The reversal of 80513 is 31508.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 43264 + 37249 = 208^2 + 193^2 .

It is a cyclic number.

It is not a de Polignac number, because 80513 - 2⁶ = 80449 is a prime.

It is a Chen prime.

It is a nialpdrome in base 11.

It is a zygodrome in base 11.

It is a junction number, because it is equal to n+sod(n) for n = 80491 and 80500.

It is not a weakly prime, because it can be changed into another prime (80713) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 40256 + 40257.

It is an arithmetic number, because the mean of its divisors is an integer number (40257).

2⁸⁰⁵¹³ is an apocalyptic number.

It is an amenable number.

80513 is a deficient number, since it is larger than the sum of its proper divisors (1).

80513 is an equidigital number, since it uses as much as digits as its factorization.

80513 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 80513 is about 283.7481277471. The cubic root of 80513 is about 43.1805997138.

It can be divided in two parts, 805 and 13, that added together give a palindrome (818).

The spelling of 80513 in words is "eighty thousand, five hundred thirteen".