123505325 has 24 divisors (see below), whose sum is σ = 158567976. Its totient is φ = 95360000.

The previous prime is 123505313. The next prime is 123505337. The reversal of 123505325 is 523505321.

It is an interprime number because it is at equal distance from previous prime (123505313) and next prime (123505337).

It can be written as a sum of positive squares in 12 ways, for example, as 30151081 + 93354244 = 5491^2 + 9662^2 .

It is not a de Polignac number, because 123505325 - 2⁸ = 123505069 is a prime.

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 123505294 and 123505303.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 102929 + ... + 104121.

It is an arithmetic number, because the mean of its divisors is an integer number (6606999).

Almost surely, 2^123505325 is an apocalyptic number.

It is an amenable number.

123505325 is a deficient number, since it is larger than the sum of its proper divisors (35062651).

123505325 is a wasteful number, since it uses less digits than its factorization.

123505325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1345 (or 1340 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 26.

The square root of 123505325 is about 11113.2949659406. The cubic root of 123505325 is about 497.9991035075. Note that the first 3 decimals are identical.

The spelling of 123505325 in words is "one hundred twenty-three million, five hundred five thousand, three hundred twenty-five".