633520461 has 24 divisors (see below), whose sum is σ = 984941760. Its totient is φ = 361150272.

The previous prime is 633520421. The next prime is 633520471. The reversal of 633520461 is 164025336.

It is not a de Polignac number, because 633520461 - 2¹⁴ = 633504077 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (633520421) 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 23 ways as a sum of consecutive naturals, for example, 59625 + ... + 69441.

It is an arithmetic number, because the mean of its divisors is an integer number (41039240).

Almost surely, 2^633520461 is an apocalyptic number.

It is an amenable number.

633520461 is a deficient number, since it is larger than the sum of its proper divisors (351421299).

633520461 is a wasteful number, since it uses less digits than its factorization.

633520461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10273 (or 10266 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

The square root of 633520461 is about 25169.8323593941. The cubic root of 633520461 is about 858.8557257709.

Adding to 633520461 its reverse (164025336), we get a palindrome (797545797).

It can be divided in two parts, 6335 and 20461, that added together give a triangular number (26796 = T₂₃₁).

The spelling of 633520461 in words is "six hundred thirty-three million, five hundred twenty thousand, four hundred sixty-one".