263233530 has 256 divisors, whose sum is σ = 851558400. Its totient is φ = 56609280.

The previous prime is 263233517. The next prime is 263233541. The reversal of 263233530 is 35332362.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 263233494 and 263233503.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 3332031 + ... + 3332109.

It is an arithmetic number, because the mean of its divisors is an integer number (3326400).

Almost surely, 2^263233530 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 263233530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425779200).

263233530 is an abundant number, since it is smaller than the sum of its proper divisors (588324870).

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

263233530 is a wasteful number, since it uses less digits than its factorization.

263233530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 27.

The square root of 263233530 is about 16224.4731809695. The cubic root of 263233530 is about 640.8854362231.

Adding to 263233530 its reverse (35332362), we get a palindrome (298565892).

It can be divided in two parts, 2632335 and 30, that added together give a triangular number (2632365 = T₂₂₉₄).

The spelling of 263233530 in words is "two hundred sixty-three million, two hundred thirty-three thousand, five hundred thirty".