41331296601 has 75 divisors (see below), whose sum is σ = 72184411343. Its totient is φ = 23566651920.

The previous prime is 41331296569. The next prime is 41331296621. The reversal of 41331296601 is 10669213314.

The square root of 41331296601 is 203301.

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

41331296601 is a `hidden beast` number, since 4 + 1 + 33 + 12 + 9 + 6 + 601 = 666.

41331296601 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 13248240201 + 28083056400 = 115101^2 + 167580^2 .

It is not a de Polignac number, because 41331296601 - 2⁵ = 41331296569 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (41331296621) by changing a digit.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 89655511 + ... + 89655971.

Almost surely, 2^41331296601 is an apocalyptic number.

41331296601 is the 203301-st square number.

41331296601 is the 101651-st centered octagonal number.

It is an amenable number.

41331296601 is a deficient number, since it is larger than the sum of its proper divisors (30853114742).

41331296601 is an frugal number, since it uses more digits than its factorization.

41331296601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 962 (or 471 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

Multiplying 41331296601 by its sum of digits (36), we get a square (1487926677636 = 1219806²).

The spelling of 41331296601 in words is "forty-one billion, three hundred thirty-one million, two hundred ninety-six thousand, six hundred one".