451719754201 has 9 divisors (see below), whose sum is σ = 454833273909. Its totient is φ = 448627417500.

The previous prime is 451719754151. The next prime is 451719754207. The reversal of 451719754201 is 102457917154.

The square root of 451719754201 is 672101.

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

It is not a de Polignac number, because 451719754201 - 2¹¹ = 451719752153 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (451719754207) 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 8 ways as a sum of consecutive naturals, for example, 101485026 + ... + 101489476.

Almost surely, 2^451719754201 is an apocalyptic number.

451719754201 is the 672101-st square number.

451719754201 is the 336051-st centered octagonal number.

It is an amenable number.

451719754201 is a deficient number, since it is larger than the sum of its proper divisors (3113519708).

451719754201 is an frugal number, since it uses more digits than its factorization.

451719754201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9204 (or 4602 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 46.

The spelling of 451719754201 in words is "four hundred fifty-one billion, seven hundred nineteen million, seven hundred fifty-four thousand, two hundred one".