8371005506361 has 9 divisors (see below), whose sum is σ = 12091464935589. Its totient is φ = 5580664551036.

The previous prime is 8371005506329. The next prime is 8371005506371. The reversal of 8371005506361 is 1636055001738.

The square root of 8371005506361 is 2893269.

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

8371005506361 is a `hidden beast` number, since 8 + 3 + 7 + 1 + 0 + 0 + 5 + 5 + 0 + 636 + 1 = 666.

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 8371005506361 - 2⁵ = 8371005506329 is a prime.

It is a super-2 number, since 2×8371005506361² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (8371005506371) 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, 8197596 + ... + 9162018.

Almost surely, 2^{8371005506361} is an apocalyptic number.

8371005506361 is the 2893269-th square number.

8371005506361 is the 1446635-th centered octagonal number.

It is an amenable number.

8371005506361 is a deficient number, since it is larger than the sum of its proper divisors (3720459429228).

8371005506361 is an frugal number, since it uses more digits than its factorization.

8371005506361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1928852 (or 964426 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 8371005506361 in words is "eight trillion, three hundred seventy-one billion, five million, five hundred six thousand, three hundred sixty-one".