261120013 has 16 divisors (see below), whose sum is σ = 326177280. Its totient is φ = 203079600.

The previous prime is 261119993. The next prime is 261120019. The reversal of 261120013 is 310021162.

It is a cyclic number.

It is not a de Polignac number, because 261120013 - 2⁵ = 261119981 is a prime.

It is a super-2 number, since 2×261120013² = 136367322378240338, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (261120019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40998 + ... + 46936.

It is an arithmetic number, because the mean of its divisors is an integer number (20386080).

Almost surely, 2^261120013 is an apocalyptic number.

It is an amenable number.

261120013 is a deficient number, since it is larger than the sum of its proper divisors (65057267).

261120013 is a wasteful number, since it uses less digits than its factorization.

261120013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6528.

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 261120013 is about 16159.2083036268. The cubic root of 261120013 is about 639.1655898434.

Adding to 261120013 its reverse (310021162), we get a palindrome (571141175).

The spelling of 261120013 in words is "two hundred sixty-one million, one hundred twenty thousand, thirteen".