60013 has 2 divisors, whose sum is σ = 60014. Its totient is φ = 60012.

The previous prime is 59999. The next prime is 60017. The reversal of 60013 is 31006.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 56169 + 3844 = 237^2 + 62^2 .

It is a cyclic number.

It is not a de Polignac number, because 60013 - 2⁵ = 59981 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (60017) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 30006 + 30007.

It is an arithmetic number, because the mean of its divisors is an integer number (30007).

2⁶⁰⁰¹³ is an apocalyptic number.

It is an amenable number.

60013 is a deficient number, since it is larger than the sum of its proper divisors (1).

60013 is an equidigital number, since it uses as much as digits as its factorization.

60013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 18, while the sum is 10.

The square root of 60013 is about 244.9755089800. The cubic root of 60013 is about 39.1515036119.

Adding to 60013 its product of nonzero digits (18), we get a triangular number (60031 = T₃₄₆).

Subtracting from 60013 its product of nonzero digits (18), we obtain a palindrome (59995).

Adding to 60013 its reverse (31006), we get a palindrome (91019).

The spelling of 60013 in words is "sixty thousand, thirteen".