220513 has 2 divisors, whose sum is σ = 220514. Its totient is φ = 220512.

The previous prime is 220511. The next prime is 220529. The reversal of 220513 is 315022.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 208849 + 11664 = 457^2 + 108^2 .

It is a cyclic number.

It is not a de Polignac number, because 220513 - 2¹ = 220511 is a prime.

Together with 220511, it forms a pair of twin primes.

It is a nialpdrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 220493 and 220502.

It is not a weakly prime, because it can be changed into another prime (220511) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110256 + 110257.

It is an arithmetic number, because the mean of its divisors is an integer number (110257).

2²²⁰⁵¹³ is an apocalyptic number.

It is an amenable number.

220513 is a deficient number, since it is larger than the sum of its proper divisors (1).

220513 is an equidigital number, since it uses as much as digits as its factorization.

220513 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 60, while the sum is 13.

The square root of 220513 is about 469.5881173965. The cubic root of 220513 is about 60.4149934270.

Adding to 220513 its reverse (315022), we get a palindrome (535535).

The spelling of 220513 in words is "two hundred twenty thousand, five hundred thirteen".