451316583601 has 27 divisors (see below), whose sum is σ = 505280037483. Its totient is φ = 402919367760.

The previous prime is 451316583587. The next prime is 451316583607. The reversal of 451316583601 is 106385613154.

The square root of 451316583601 is 671801.

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

It can be written as a sum of positive squares in only one way, i.e., 66762808225 + 384553775376 = 258385^2 + 620124^2 .

It is not a de Polignac number, because 451316583601 - 2¹⁵ = 451316550833 is a prime.

It is not an unprimeable number, because it can be changed into a prime (451316583607) 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, 270734970 + ... + 270736636.

Almost surely, 2^451316583601 is an apocalyptic number.

451316583601 is the 671801-st square number.

451316583601 is the 335901-st centered octagonal number.

It is an amenable number.

451316583601 is a deficient number, since it is larger than the sum of its proper divisors (53963453882).

451316583601 is an frugal number, since it uses more digits than its factorization.

451316583601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3422 (or 1711 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 43.

The spelling of 451316583601 in words is "four hundred fifty-one billion, three hundred sixteen million, five hundred eighty-three thousand, six hundred one".