217341276765001 has 27 divisors (see below), whose sum is σ = 229908877082901. Its totient is φ = 205430708625408.

The previous prime is 217341276764957. The next prime is 217341276765059. The reversal of 217341276765001 is 100567672143712.

It is a happy number.

The square root of 217341276765001 is 14742499.

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

It can be written as a sum of positive squares in 4 ways, for example, as 19956760355401 + 197384516409600 = 4467299^2 + 14049360^2 .

It is not a de Polignac number, because 217341276765001 - 2²¹ = 217341274667849 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 217341276765001.

It is not an unprimeable number, because it can be changed into a prime (217341276765401) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 215402652385 + ... + 215402653393.

It is an arithmetic number, because the mean of its divisors is an integer number (8515143595663).

Almost surely, 2^{217341276765001} is an apocalyptic number.

217341276765001 is the 14742499-th square number.

217341276765001 is the 7371250-th centered octagonal number.

It is an amenable number.

217341276765001 is a deficient number, since it is larger than the sum of its proper divisors (12567600317900).

217341276765001 is an frugal number, since it uses more digits than its factorization.

217341276765001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3594 (or 1797 counting only the distinct ones).

The product of its (nonzero) digits is 2963520, while the sum is 52.

The spelling of 217341276765001 in words is "two hundred seventeen trillion, three hundred forty-one billion, two hundred seventy-six million, seven hundred sixty-five thousand, one".