8259054056449 has 9 divisors (see below), whose sum is σ = 9607494446721. Its totient is φ = 7079171948100.

The previous prime is 8259054056447. The next prime is 8259054056459. The reversal of 8259054056449 is 9446504509528.

The square root of 8259054056449 is 2873857.

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

It is not a de Polignac number, because 8259054056449 - 2¹ = 8259054056447 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8259054056447) 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, 19911724 + ... + 20322274.

It is an arithmetic number, because the mean of its divisors is an integer number (1067499382969).

Almost surely, 2^{8259054056449} is an apocalyptic number.

8259054056449 is the 2873857-th square number.

8259054056449 is the 1436929-th centered octagonal number.

It is an amenable number.

8259054056449 is a deficient number, since it is larger than the sum of its proper divisors (1348440390272).

8259054056449 is an frugal number, since it uses more digits than its factorization.

8259054056449 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 821116 (or 410558 counting only the distinct ones).

The product of its (nonzero) digits is 62208000, while the sum is 61.

The spelling of 8259054056449 in words is "eight trillion, two hundred fifty-nine billion, fifty-four million, fifty-six thousand, four hundred forty-nine".