512451244449 has 27 divisors (see below), whose sum is σ = 756440526387. Its totient is φ = 334299492144.

The previous prime is 512451244441. The next prime is 512451244483. The reversal of 512451244449 is 944442154215.

The square root of 512451244449 is 715857.

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

512451244449 is a `hidden beast` number, since 5 + 124 + 512 + 4 + 4 + 4 + 4 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 498019547025 + 14431697424 = 705705^2 + 120132^2 .

It is not a de Polignac number, because 512451244449 - 2³ = 512451244441 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (512451244441) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 100933299 + ... + 100938375.

Almost surely, 2^512451244449 is an apocalyptic number.

512451244449 is the 715857-th square number.

512451244449 is the 357929-th centered octagonal number.

It is an amenable number.

512451244449 is a deficient number, since it is larger than the sum of its proper divisors (243989281938).

512451244449 is an frugal number, since it uses more digits than its factorization.

512451244449 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10254 (or 5127 counting only the distinct ones).

The product of its digits is 921600, while the sum is 45.

It can be divided in two parts, 512451 and 244449, that added together give a square (756900 = 870²).

The spelling of 512451244449 in words is "five hundred twelve billion, four hundred fifty-one million, two hundred forty-four thousand, four hundred forty-nine".