633502973041 has 27 divisors (see below), whose sum is σ = 675354896811. Its totient is φ = 594157814784.

The previous prime is 633502973017. The next prime is 633502973057. The reversal of 633502973041 is 140379205336.

It is a happy number.

The square root of 633502973041 is 795929.

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., 623681370225 + 9821602816 = 789735^2 + 99104^2 .

It is not a de Polignac number, because 633502973041 - 2²³ = 633494584433 is a prime.

It is not an unprimeable number, because it can be changed into a prime (633502973641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2464991985 + ... + 2464992241.

Almost surely, 2^633502973041 is an apocalyptic number.

633502973041 is the 795929-th square number.

633502973041 is the 397965-th centered octagonal number.

It is an amenable number.

633502973041 is a deficient number, since it is larger than the sum of its proper divisors (41851923770).

633502973041 is an frugal number, since it uses more digits than its factorization.

633502973041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 878 (or 439 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 43.

The spelling of 633502973041 in words is "six hundred thirty-three billion, five hundred two million, nine hundred seventy-three thousand, forty-one".