263125260 has 84 divisors (see below), whose sum is σ = 828511488. Its totient is φ = 70162848.

The previous prime is 263125259. The next prime is 263125283. The reversal of 263125260 is 62521362.

263125260 is a `hidden beast` number, since 2 + 631 + 2 + 5 + 26 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 27 ways as a sum of consecutive naturals, for example, 5557 + ... + 23603.

It is an arithmetic number, because the mean of its divisors is an integer number (9863232).

Almost surely, 2^263125260 is an apocalyptic number.

263125260 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 263125260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414255744).

263125260 is an abundant number, since it is smaller than the sum of its proper divisors (565386228).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

263125260 is a wasteful number, since it uses less digits than its factorization.

263125260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18074 (or 18057 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 263125260 is about 16221.1362117455. The cubic root of 263125260 is about 640.7975571173.

The spelling of 263125260 in words is "two hundred sixty-three million, one hundred twenty-five thousand, two hundred sixty".