123505263 has 64 divisors (see below), whose sum is σ = 222515200. Its totient is φ = 66134880.

The previous prime is 123505247. The next prime is 123505267. The reversal of 123505263 is 362505321.

It is not a de Polignac number, because 123505263 - 2⁴ = 123505247 is a prime.

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

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123505267) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 585228 + ... + 585438.

It is an arithmetic number, because the mean of its divisors is an integer number (3476800).

Almost surely, 2^123505263 is an apocalyptic number.

123505263 is a deficient number, since it is larger than the sum of its proper divisors (99009937).

123505263 is a wasteful number, since it uses less digits than its factorization.

123505263 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 123505263 is about 11113.2921764885. The cubic root of 123505263 is about 497.9990201752. Note that the first 3 decimals are identical.

The spelling of 123505263 in words is "one hundred twenty-three million, five hundred five thousand, two hundred sixty-three".