20257544241 has 81 divisors (see below), whose sum is σ = 34094871993. Its totient is φ = 11579887440.

The previous prime is 20257544221. The next prime is 20257544249. The reversal of 20257544241 is 14244575202.

The square root of 20257544241 is 142329.

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

20257544241 is a `hidden beast` number, since 2 + 0 + 2 + 575 + 4 + 42 + 41 = 666.

It is not a de Polignac number, because 20257544241 - 2⁷ = 20257544113 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 20257544196 and 20257544205.

It is not an unprimeable number, because it can be changed into a prime (20257544249) 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 80 ways as a sum of consecutive naturals, for example, 89240170 + ... + 89240396.

Almost surely, 2^20257544241 is an apocalyptic number.

20257544241 is the 142329-th square number.

20257544241 is the 71165-th centered octagonal number.

It is an amenable number.

20257544241 is a deficient number, since it is larger than the sum of its proper divisors (13837327752).

20257544241 is a wasteful number, since it uses less digits than its factorization.

20257544241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 520 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 89600, while the sum is 36.

Multiplying 20257544241 by its sum of digits (36), we get a square (729271592676 = 853974²).

The spelling of 20257544241 in words is "twenty billion, two hundred fifty-seven million, five hundred forty-four thousand, two hundred forty-one".