125523663 has 16 divisors (see below), whose sum is σ = 171054720. Its totient is φ = 81847584.

The previous prime is 125523649. The next prime is 125523667. The reversal of 125523663 is 366325521.

It is not a de Polignac number, because 125523663 - 2⁶ = 125523599 is a prime.

It is a super-3 number, since 3×125523663³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125523667) 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 15 ways as a sum of consecutive naturals, for example, 59220 + ... + 61302.

It is an arithmetic number, because the mean of its divisors is an integer number (10690920).

Almost surely, 2^125523663 is an apocalyptic number.

125523663 is a deficient number, since it is larger than the sum of its proper divisors (45531057).

125523663 is a wasteful number, since it uses less digits than its factorization.

125523663 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2518.

The product of its digits is 32400, while the sum is 33.

The square root of 125523663 is about 11203.7343328017. The cubic root of 125523663 is about 500.6972445814.

The spelling of 125523663 in words is "one hundred twenty-five million, five hundred twenty-three thousand, six hundred sixty-three".