20775100257 has 12 divisors (see below), whose sum is σ = 31773682980. Its totient is φ = 13035356928.

The previous prime is 20775100217. The next prime is 20775100261. The reversal of 20775100257 is 75200157702.

20775100257 is a `hidden beast` number, since 20 + 77 + 510 + 0 + 2 + 57 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 13511970081 + 7263130176 = 116241^2 + 85224^2 .

It is not a de Polignac number, because 20775100257 - 2²⁴ = 20758323041 is a prime.

It is not an unprimeable number, because it can be changed into a prime (20775100217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 67892332 + ... + 67892637.

It is an arithmetic number, because the mean of its divisors is an integer number (2647806915).

Almost surely, 2^20775100257 is an apocalyptic number.

It is an amenable number.

20775100257 is a deficient number, since it is larger than the sum of its proper divisors (10998582723).

20775100257 is a wasteful number, since it uses less digits than its factorization.

20775100257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135784992 (or 135784989 counting only the distinct ones).

The product of its (nonzero) digits is 34300, while the sum is 36.

Adding to 20775100257 its reverse (75200157702), we get a palindrome (95975257959).

The spelling of 20775100257 in words is "twenty billion, seven hundred seventy-five million, one hundred thousand, two hundred fifty-seven".