232505133312501 has 96 divisors (see below), whose sum is σ = 394551994636800. Its totient is φ = 129167802869760.

The previous prime is 232505133312497. The next prime is 232505133312547. The reversal of 232505133312501 is 105213331505232.

232505133312501 is a `hidden beast` number, since 2 + 3 + 2 + 5 + 0 + 5 + 133 + 3 + 12 + 501 = 666.

It is not a de Polignac number, because 232505133312501 - 2² = 232505133312497 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232505133312601) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 939910105 + ... + 940157441.

It is an arithmetic number, because the mean of its divisors is an integer number (4109916610800).

Almost surely, 2^{232505133312501} is an apocalyptic number.

232505133312501 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

232505133312501 is a deficient number, since it is larger than the sum of its proper divisors (162046861324299).

232505133312501 is a wasteful number, since it uses less digits than its factorization.

232505133312501 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248659 (or 248656 counting only the distinct ones).

The product of its (nonzero) digits is 81000, while the sum is 36.

Adding to 232505133312501 its reverse (105213331505232), we get a palindrome (337718464817733).

The spelling of 232505133312501 in words is "two hundred thirty-two trillion, five hundred five billion, one hundred thirty-three million, three hundred twelve thousand, five hundred one".