24838075201 has 9 divisors (see below), whose sum is σ = 24964320801. Its totient is φ = 24712467204.

The previous prime is 24838075189. The next prime is 24838075211. The reversal of 24838075201 is 10257083842.

It is a happy number.

The square root of 24838075201 is 157601.

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

It is not a de Polignac number, because 24838075201 - 2²⁹ = 24301204289 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (24838075211) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 56578540 + ... + 56578978.

Almost surely, 2^24838075201 is an apocalyptic number.

24838075201 is the 157601-st square number.

24838075201 is the 78801-st centered octagonal number.

It is an amenable number.

24838075201 is a deficient number, since it is larger than the sum of its proper divisors (126245600).

24838075201 is an frugal number, since it uses more digits than its factorization.

24838075201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1596 (or 798 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 40.

The spelling of 24838075201 in words is "twenty-four billion, eight hundred thirty-eight million, seventy-five thousand, two hundred one".