263180286121 has 9 divisors (see below), whose sum is σ = 264100235511. Its totient is φ = 262263535464.

The previous prime is 263180286101. The next prime is 263180286139. The reversal of 263180286121 is 121682081362.

The square root of 263180286121 is 513011.

It is a perfect power (a square), and thus also a powerful number.

263180286121 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 only one way, i.e., 17739309721 + 245440976400 = 133189^2 + 495420^2 .

It is not a de Polignac number, because 263180286121 - 2⁷ = 263180285993 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (263180286101) 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 8 ways as a sum of consecutive naturals, for example, 184170235 + ... + 184171663.

Almost surely, 2^263180286121 is an apocalyptic number.

263180286121 is the 513011-st square number.

263180286121 is the 256506-th centered octagonal number.

It is an amenable number.

263180286121 is a deficient number, since it is larger than the sum of its proper divisors (919949390).

263180286121 is an frugal number, since it uses more digits than its factorization.

263180286121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3576 (or 1788 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 40.

The spelling of 263180286121 in words is "two hundred sixty-three billion, one hundred eighty million, two hundred eighty-six thousand, one hundred twenty-one".