61013 has 8 divisors (see below), whose sum is σ = 67032. Its totient is φ = 55296.

The previous prime is 61007. The next prime is 61027. The reversal of 61013 is 31016.

It can be written as a sum of positive squares in 4 ways, for example, as 27889 + 33124 = 167^2 + 182^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 61013 - 2⁸ = 60757 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a nialpdrome in base 16.

It is a zygodrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 60985 and 61003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61043) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 581 + ... + 677.

It is an arithmetic number, because the mean of its divisors is an integer number (8379).

2⁶¹⁰¹³ is an apocalyptic number.

It is an amenable number.

61013 is a deficient number, since it is larger than the sum of its proper divisors (6019).

61013 is a wasteful number, since it uses less digits than its factorization.

61013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151.

The product of its (nonzero) digits is 18, while the sum is 11.

The square root of 61013 is about 247.0080970333. The cubic root of 61013 is about 39.3677680512.

Adding to 61013 its reverse (31016), we get a palindrome (92029).

The spelling of 61013 in words is "sixty-one thousand, thirteen".