260629509121 has 8 divisors (see below), whose sum is σ = 260941412520. Its totient is φ = 260317675008.

The previous prime is 260629509103. The next prime is 260629509163. The reversal of 260629509121 is 121905926062.

260629509121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 24364096 + 260605145025 = 4936^2 + 510495^2 .

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 260629509121 - 2²⁹ = 260092638209 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (260629500121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13885675 + ... + 13904431.

It is an arithmetic number, because the mean of its divisors is an integer number (32617676565).

Almost surely, 2^260629509121 is an apocalyptic number.

It is an amenable number.

260629509121 is a deficient number, since it is larger than the sum of its proper divisors (311903399).

260629509121 is a wasteful number, since it uses less digits than its factorization.

260629509121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34643.

The product of its (nonzero) digits is 116640, while the sum is 43.

The spelling of 260629509121 in words is "two hundred sixty billion, six hundred twenty-nine million, five hundred nine thousand, one hundred twenty-one".