386574306001 has 21 divisors (see below), whose sum is σ = 420273873039. Its totient is φ = 355576909896.

The previous prime is 386574305981. The next prime is 386574306067. The reversal of 386574306001 is 100603475683.

The square root of 386574306001 is 621751.

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

It can be written as a sum of positive squares in 3 ways, for example, as 331666569025 + 54907736976 = 575905^2 + 234324^2 .

It is a de Polignac number, because none of the positive numbers 2^k-386574306001 is a prime.

It is a super-2 number, since 2×386574306001² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (386574306091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 1365986806 + ... + 1365987088.

Almost surely, 2^386574306001 is an apocalyptic number.

386574306001 is the 621751-st square number.

386574306001 is the 310876-th centered octagonal number.

It is an amenable number.

386574306001 is a deficient number, since it is larger than the sum of its proper divisors (33699567038).

386574306001 is an frugal number, since it uses more digits than its factorization.

386574306001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 644 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 43.

The spelling of 386574306001 in words is "three hundred eighty-six billion, five hundred seventy-four million, three hundred six thousand, one".