256712772105 has 12 divisors (see below), whose sum is σ = 444968805060. Its totient is φ = 136913478432.

The previous prime is 256712772103. The next prime is 256712772131. The reversal of 256712772105 is 501277217652.

256712772105 is a `hidden beast` number, since 2 + 567 + 1 + 2 + 7 + 72 + 10 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 26635219209 + 230077552896 = 163203^2 + 479664^2 .

It is not a de Polignac number, because 256712772105 - 2¹ = 256712772103 is a prime.

It is a super-2 number, since 2×256712772105² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45), and also a Moran number because the ratio is a prime number: 5704728269 = 256712772105 / (2 + 5 + 6 + 7 + 1 + 2 + 7 + 7 + 2 + 1 + 0 + 5).

It is not an unprimeable number, because it can be changed into a prime (256712772101) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2852364090 + ... + 2852364179.

It is an arithmetic number, because the mean of its divisors is an integer number (37080733755).

Almost surely, 2^256712772105 is an apocalyptic number.

It is an amenable number.

256712772105 is a deficient number, since it is larger than the sum of its proper divisors (188256032955).

256712772105 is a wasteful number, since it uses less digits than its factorization.

256712772105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5704728280 (or 5704728277 counting only the distinct ones).

The product of its (nonzero) digits is 411600, while the sum is 45.

Adding to 256712772105 its reverse (501277217652), we get a palindrome (757989989757).

The spelling of 256712772105 in words is "two hundred fifty-six billion, seven hundred twelve million, seven hundred seventy-two thousand, one hundred five".