83328131601 has 48 divisors (see below), whose sum is σ = 141441431040. Its totient is φ = 46605231360.

The previous prime is 83328131597. The next prime is 83328131633. The reversal of 83328131601 is 10613182338.

83328131601 is a `hidden beast` number, since 8 + 3 + 32 + 8 + 13 + 1 + 601 = 666.

It is not a de Polignac number, because 83328131601 - 2² = 83328131597 is a prime.

It is a super-3 number, since 3×83328131601³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (83328133601) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8189245 + ... + 8199413.

It is an arithmetic number, because the mean of its divisors is an integer number (2946696480).

Almost surely, 2^83328131601 is an apocalyptic number.

It is an amenable number.

83328131601 is a deficient number, since it is larger than the sum of its proper divisors (58113299439).

83328131601 is a wasteful number, since it uses less digits than its factorization.

83328131601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16566 (or 16563 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 83328131601 in words is "eighty-three billion, three hundred twenty-eight million, one hundred thirty-one thousand, six hundred one".