332517084972601 has 9 divisors (see below), whose sum is σ = 333221477470351. Its totient is φ = 331814178461704.

The previous prime is 332517084972593. The next prime is 332517084972619. The reversal of 332517084972601 is 106279480715233.

The square root of 332517084972601 is 18235051.

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

It can be written as a sum of positive squares in only one way, i.e., 211775227145001 + 120741857827600 = 14552499^2 + 10988260^2 .

It is not a de Polignac number, because 332517084972601 - 2³ = 332517084972593 is a prime.

It is a super-2 number, since 2×332517084972601² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (332517084972671) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 8734570395 + ... + 8734608463.

It is a 1-persistent number, because it is pandigital, but 2⋅332517084972601 = 665034169945202 is not.

Almost surely, 2^{332517084972601} is an apocalyptic number.

332517084972601 is the 18235051-st square number.

332517084972601 is the 9117526-th centered octagonal number.

It is an amenable number.

332517084972601 is a deficient number, since it is larger than the sum of its proper divisors (704392497750).

332517084972601 is an frugal number, since it uses more digits than its factorization.

332517084972601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77096 (or 38548 counting only the distinct ones).

The product of its (nonzero) digits is 15240960, while the sum is 58.

The spelling of 332517084972601 in words is "three hundred thirty-two trillion, five hundred seventeen billion, eighty-four million, nine hundred seventy-two thousand, six hundred one".