20300265441 has 27 divisors (see below), whose sum is σ = 30466171281. Its totient is φ = 13525816428.

The previous prime is 20300265431. The next prime is 20300265467. The reversal of 20300265441 is 14456200302.

The square root of 20300265441 is 142479.

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

20300265441 is a `hidden beast` number, since 2 + 0 + 3 + 0 + 0 + 2 + 654 + 4 + 1 = 666.

It is a tau number, because it is divible by the number of its divisors (27).

It is not a de Polignac number, because 20300265441 - 2²³ = 20291876833 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (20300265421) 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, 11539920 + ... + 11541678.

Almost surely, 2^20300265441 is an apocalyptic number.

20300265441 is the 142479-th square number.

20300265441 is the 71240-th centered octagonal number.

It is an amenable number.

20300265441 is a deficient number, since it is larger than the sum of its proper divisors (10165905840).

20300265441 is an frugal number, since it uses more digits than its factorization.

20300265441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3542 (or 1762 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 20300265441 its reverse (14456200302), we get a palindrome (34756465743).

The spelling of 20300265441 in words is "twenty billion, three hundred million, two hundred sixty-five thousand, four hundred forty-one".