633031870689 has 27 divisors (see below), whose sum is σ = 922936071603. Its totient is φ = 418108324032.

The previous prime is 633031870657. The next prime is 633031870717. The reversal of 633031870689 is 986078130336.

The square root of 633031870689 is 795633.

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., 11154528225 + 621877342464 = 105615^2 + 788592^2 .

It is not a de Polignac number, because 633031870689 - 2⁵ = 633031870657 is a prime.

It is not an unprimeable number, because it can be changed into a prime (633031870609) 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 26 ways as a sum of consecutive naturals, for example, 269718414 + ... + 269720760.

Almost surely, 2^633031870689 is an apocalyptic number.

633031870689 is the 795633-rd square number.

633031870689 is the 397817-th centered octagonal number.

It is an amenable number.

633031870689 is a deficient number, since it is larger than the sum of its proper divisors (289904200914).

633031870689 is an frugal number, since it uses more digits than its factorization.

633031870689 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4926 (or 2463 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 633031870689 in words is "six hundred thirty-three billion, thirty-one million, eight hundred seventy thousand, six hundred eighty-nine".