261013 has 2 divisors, whose sum is σ = 261014. Its totient is φ = 261012.

The previous prime is 261011. The next prime is 261017. The reversal of 261013 is 310162.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 191844 + 69169 = 438^2 + 263^2 .

It is a cyclic number.

It is not a de Polignac number, because 261013 - 2¹ = 261011 is a prime.

Together with 261011, it forms a pair of twin primes.

It is a nialpdrome in base 6.

It is a junction number, because it is equal to n+sod(n) for n = 260984 and 261002.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (261011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 130506 + 130507.

It is an arithmetic number, because the mean of its divisors is an integer number (130507).

2²⁶¹⁰¹³ is an apocalyptic number.

It is an amenable number.

261013 is a deficient number, since it is larger than the sum of its proper divisors (1).

261013 is an equidigital number, since it uses as much as digits as its factorization.

261013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 261013 is about 510.8943139241. The cubic root of 261013 is about 63.9078262982.

Adding to 261013 its reverse (310162), we get a palindrome (571175).

It can be divided in two parts, 2610 and 13, that multiplied together give a triangular number (33930 = T₂₆₀).

The spelling of 261013 in words is "two hundred sixty-one thousand, thirteen".