633057331201 has 3 divisors (see below), whose sum is σ = 633058126851. Its totient is φ = 633056535552.

The previous prime is 633057331133. The next prime is 633057331253. The reversal of 633057331201 is 102133750336.

The square root of 633057331201 is 795649.

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

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in only one way, i.e., 256895908801 + 376161422400 = 506849^2 + 613320^2 .

It is not a de Polignac number, because 633057331201 - 2¹⁷ = 633057200129 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (633057331801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 397825 + ... + 1193473.

It is an arithmetic number, because the mean of its divisors is an integer number (211019375617).

Almost surely, 2^633057331201 is an apocalyptic number.

633057331201 is the 795649-th square number.

633057331201 is the 397825-th centered octagonal number.

It is an amenable number.

633057331201 is a deficient number, since it is larger than the sum of its proper divisors (795650).

633057331201 is an frugal number, since it uses more digits than its factorization.

633057331201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1591298 (or 795649 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 34.

The spelling of 633057331201 in words is "six hundred thirty-three billion, fifty-seven million, three hundred thirty-one thousand, two hundred one".