24989602561 has 27 divisors (see below), whose sum is σ = 31968038403. Its totient is φ = 19462932720.

The previous prime is 24989602553. The next prime is 24989602621. The reversal of 24989602561 is 16520698942.

The square root of 24989602561 is 158081.

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., 12899280625 + 12090321936 = 113575^2 + 109956^2 .

It is not a de Polignac number, because 24989602561 - 2³ = 24989602553 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 24989602499 and 24989602508.

It is not an unprimeable number, because it can be changed into a prime (24989602061) 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 26 ways as a sum of consecutive naturals, for example, 12171211 + ... + 12173263.

Almost surely, 2^24989602561 is an apocalyptic number.

24989602561 is the 158081-st square number.

24989602561 is the 79041-st centered octagonal number.

It is an amenable number.

24989602561 is a deficient number, since it is larger than the sum of its proper divisors (6978435842).

24989602561 is an frugal number, since it uses more digits than its factorization.

24989602561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4142 (or 2071 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 52.

The spelling of 24989602561 in words is "twenty-four billion, nine hundred eighty-nine million, six hundred two thousand, five hundred sixty-one".