123325285329 has 81 divisors (see below), whose sum is σ = 193049361297. Its totient is φ = 75854232000.

The previous prime is 123325285309. The next prime is 123325285337. The reversal of 123325285329 is 923582523321.

It is a happy number.

The square root of 123325285329 is 351177.

It is a perfect power (a square), and thus also a powerful number.

123325285329 is a `hidden beast` number, since 1 + 2 + 332 + 5 + 285 + 32 + 9 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 40030929 + 123285254400 = 6327^2 + 351120^2 .

It is not a de Polignac number, because 123325285329 - 2²³ = 123316896721 is a prime.

It is not an unprimeable number, because it can be changed into a prime (123325285309) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1221042379 + ... + 1221042479.

Almost surely, 2^123325285329 is an apocalyptic number.

123325285329 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

123325285329 is the 351177-th square number.

123325285329 is the 175589-th centered octagonal number.

It is an amenable number.

123325285329 is a deficient number, since it is larger than the sum of its proper divisors (69724075968).

123325285329 is an equidigital number, since it uses as much as digits as its factorization.

123325285329 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368 (or 184 counting only the distinct ones).

The product of its digits is 777600, while the sum is 45.

The spelling of 123325285329 in words is "one hundred twenty-three billion, three hundred twenty-five million, two hundred eighty-five thousand, three hundred twenty-nine".