132322023125253 has 36 divisors (see below), whose sum is σ = 208354244307300. Its totient is φ = 80882434234368.

The previous prime is 132322023125233. The next prime is 132322023125297. The reversal of 132322023125253 is 352521320223231.

132322023125253 is a `hidden beast` number, since 1 + 3 + 2 + 322 + 0 + 2 + 31 + 252 + 53 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 16347603709089 + 115974419416164 = 4043217^2 + 10769142^2 .

It is not a de Polignac number, because 132322023125253 - 2⁴⁰ = 131222511497477 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132322023125233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 291708700 + ... + 292161957.

It is an arithmetic number, because the mean of its divisors is an integer number (5787617897425).

Almost surely, 2^{132322023125253} is an apocalyptic number.

132322023125253 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

132322023125253 is a deficient number, since it is larger than the sum of its proper divisors (76032221182047).

132322023125253 is a wasteful number, since it uses less digits than its factorization.

132322023125253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 583870838 (or 583870822 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

Adding to 132322023125253 its reverse (352521320223231), we get a palindrome (484843343348484).

The spelling of 132322023125253 in words is "one hundred thirty-two trillion, three hundred twenty-two billion, twenty-three million, one hundred twenty-five thousand, two hundred fifty-three".