451965633505 has 32 divisors (see below), whose sum is σ = 567591818400. Its totient is φ = 345043894272.

The previous prime is 451965633503. The next prime is 451965633533. The reversal of 451965633505 is 505336569154.

451965633505 = 475376² + 475377².

It can be written as a sum of positive squares in 16 ways, for example, as 9039445776 + 442926187729 = 95076^2 + 665527^2 .

It is a 4-Lehmer number, since φ(451965633505) divides (451965633505-1)⁴.

It is a cyclic number.

It is not a de Polignac number, because 451965633505 - 2¹ = 451965633503 is a prime.

It is not an unprimeable number, because it can be changed into a prime (451965633503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42026209 + ... + 42036961.

It is an arithmetic number, because the mean of its divisors is an integer number (17737244325).

Almost surely, 2^451965633505 is an apocalyptic number.

451965633505 is the 475377-th centered square number.

It is an amenable number.

451965633505 is a deficient number, since it is larger than the sum of its proper divisors (115626184895).

451965633505 is a wasteful number, since it uses less digits than its factorization.

451965633505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14133.

The product of its (nonzero) digits is 7290000, while the sum is 52.

The spelling of 451965633505 in words is "four hundred fifty-one billion, nine hundred sixty-five million, six hundred thirty-three thousand, five hundred five".