263873825 has 48 divisors (see below), whose sum is σ = 357358080. Its totient is φ = 192741120.

The previous prime is 263873789. The next prime is 263873837. The reversal of 263873825 is 528378362.

It is not a de Polignac number, because 263873825 - 2¹⁰ = 263872801 is a prime.

It is a Curzon number.

It is a nialpdrome in base 16.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1680647 + ... + 1680803.

It is an arithmetic number, because the mean of its divisors is an integer number (7444960).

Almost surely, 2^263873825 is an apocalyptic number.

263873825 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

263873825 is a deficient number, since it is larger than the sum of its proper divisors (93484255).

263873825 is a wasteful number, since it uses less digits than its factorization.

263873825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 301 counting only the distinct ones).

The product of its digits is 483840, while the sum is 44.

The square root of 263873825 is about 16244.1935780143. The cubic root of 263873825 is about 641.4046500556.

The spelling of 263873825 in words is "two hundred sixty-three million, eight hundred seventy-three thousand, eight hundred twenty-five".