8213663670601 has 3 divisors (see below), whose sum is σ = 8213666536551. Its totient is φ = 8213660804652.

The previous prime is 8213663670593. The next prime is 8213663670679. The reversal of 8213663670601 is 1060763663128.

The square root of 8213663670601 is 2865949.

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

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in only one way, i.e., 1716364630201 + 6497299040400 = 1310101^2 + 2548980^2 .

It is not a de Polignac number, because 8213663670601 - 2³ = 8213663670593 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8213663670691) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 1432975 + ... + 4298923.

It is an arithmetic number, because the mean of its divisors is an integer number (2737888845517).

Almost surely, 2^{8213663670601} is an apocalyptic number.

8213663670601 is the 2865949-th square number.

8213663670601 is the 1432975-th centered octagonal number.

It is an amenable number.

8213663670601 is a deficient number, since it is larger than the sum of its proper divisors (2865950).

8213663670601 is an frugal number, since it uses more digits than its factorization.

8213663670601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5731898 (or 2865949 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 49.

Multiplying 8213663670601 by its sum of digits (49), we get a square (402469519859449 = 20061643²).

The spelling of 8213663670601 in words is "eight trillion, two hundred thirteen billion, six hundred sixty-three million, six hundred seventy thousand, six hundred one".