10065219440329 has 3 divisors (see below), whose sum is σ = 10065222612903. Its totient is φ = 10065216267756.

The previous prime is 10065219440317. The next prime is 10065219440357. The reversal of 10065219440329 is 92304491256001.

The square root of 10065219440329 is 3172573.

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., 4782815911225 + 5282403529104 = 2186965^2 + 2298348^2 .

It is not a de Polignac number, because 10065219440329 - 2⁹ = 10065219439817 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10065219440359) 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, 1586287 + ... + 4758859.

It is an arithmetic number, because the mean of its divisors is an integer number (3355074204301).

Almost surely, 2^{10065219440329} is an apocalyptic number.

10065219440329 is the 3172573-rd square number.

10065219440329 is the 1586287-th centered octagonal number.

It is an amenable number.

10065219440329 is a deficient number, since it is larger than the sum of its proper divisors (3172574).

10065219440329 is an frugal number, since it uses more digits than its factorization.

10065219440329 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6345146 (or 3172573 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 46.

The spelling of 10065219440329 in words is "ten trillion, sixty-five billion, two hundred nineteen million, four hundred forty thousand, three hundred twenty-nine".