263640169 has 9 divisors (see below), whose sum is σ = 285708933. Its totient is φ = 243165312.

The previous prime is 263640137. The next prime is 263640193. The reversal of 263640169 is 961046362.

It is a happy number.

The square root of 263640169 is 16237.

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

It can be written as a sum of positive squares in 4 ways, for example, as 56625625 + 207014544 = 7525^2 + 14388^2 .

It is not a de Polignac number, because 263640169 - 2⁵ = 263640137 is a prime.

It is a super-2 number, since 2×263640169² = 139012277420697122, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (263640119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 210457 + ... + 211705.

It is an arithmetic number, because the mean of its divisors is an integer number (31745437).

Almost surely, 2^263640169 is an apocalyptic number.

263640169 is the 16237-th square number.

263640169 is the 8119-th centered octagonal number.

It is an amenable number.

263640169 is a deficient number, since it is larger than the sum of its proper divisors (22068764).

263640169 is an frugal number, since it uses more digits than its factorization.

263640169 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2524 (or 1262 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 37.

The cubic root of 263640169 is about 641.2152763377.

Multiplying 263640169 by its product of nonzero digits (46656), we get a square (12300395724864 = 3507192²).

The spelling of 263640169 in words is "two hundred sixty-three million, six hundred forty thousand, one hundred sixty-nine".