4152673671721 has 9 divisors (see below), whose sum is σ = 4165319905911. Its totient is φ = 4140065735064.

The previous prime is 4152673671701. The next prime is 4152673671763. The reversal of 4152673671721 is 1271763762514.

It is a happy number.

The square root of 4152673671721 is 2037811.

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., 3048030631321 + 1104643040400 = 1745861^2 + 1051020^2 .

It is a de Polignac number, because none of the positive numbers 2^k-4152673671721 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4152673671701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 711193120 + ... + 711198958.

It is an arithmetic number, because the mean of its divisors is an integer number (462813322879).

Almost surely, 2^{4152673671721} is an apocalyptic number.

4152673671721 is the 2037811-st square number.

4152673671721 is the 1018906-th centered octagonal number.

It is an amenable number.

4152673671721 is a deficient number, since it is larger than the sum of its proper divisors (12646234190).

4152673671721 is an frugal number, since it uses more digits than its factorization.

4152673671721 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12376 (or 6188 counting only the distinct ones).

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

The spelling of 4152673671721 in words is "four trillion, one hundred fifty-two billion, six hundred seventy-three million, six hundred seventy-one thousand, seven hundred twenty-one".