263126052 has 72 divisors (see below), whose sum is σ = 762181056. Its totient is φ = 74977344.

The previous prime is 263126029. The next prime is 263126063. The reversal of 263126052 is 250621362.

263126052 is a `hidden beast` number, since 2 + 631 + 26 + 0 + 5 + 2 = 666.

It is a super-2 number, since 2×263126052² = 138470638482213408, which contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 110458 + ... + 112814.

It is an arithmetic number, because the mean of its divisors is an integer number (10585848).

Almost surely, 2^263126052 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 263126052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381090528).

263126052 is an abundant number, since it is smaller than the sum of its proper divisors (499055004).

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

263126052 is a wasteful number, since it uses less digits than its factorization.

263126052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2817 (or 2812 counting only the distinct ones).

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

The square root of 263126052 is about 16221.1606243203. The cubic root of 263126052 is about 640.7982000445.

The spelling of 263126052 in words is "two hundred sixty-three million, one hundred twenty-six thousand, fifty-two".