263888625 has 256 divisors, whose sum is σ = 637378560. Its totient is φ = 93312000.

The previous prime is 263888621. The next prime is 263888629. The reversal of 263888625 is 526888362.

It is an interprime number because it is at equal distance from previous prime (263888621) and next prime (263888629).

It is not a de Polignac number, because 263888625 - 2² = 263888621 is a prime.

It is not an unprimeable number, because it can be changed into a prime (263888621) by changing a digit.

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 255 ways as a sum of consecutive naturals, for example, 7132107 + ... + 7132143.

It is an arithmetic number, because the mean of its divisors is an integer number (2489760).

Almost surely, 2^263888625 is an apocalyptic number.

263888625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

263888625 is an abundant number, since it is smaller than the sum of its proper divisors (373489935).

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

263888625 is a wasteful number, since it uses less digits than its factorization.

263888625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 95 counting only the distinct ones).

The product of its digits is 1105920, while the sum is 48.

The square root of 263888625 is about 16244.6491190176. The cubic root of 263888625 is about 641.4166414071.

It can be divided in two parts, 263 and 888625, that added together give a palindrome (888888).

The spelling of 263888625 in words is "two hundred sixty-three million, eight hundred eighty-eight thousand, six hundred twenty-five".