256517300253101 has 2 divisors, whose sum is σ = 256517300253102. Its totient is φ = 256517300253100.

The previous prime is 256517300253083. The next prime is 256517300253113. The reversal of 256517300253101 is 101352003715652.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 216464983137001 + 40052317116100 = 14712749^2 + 6328690^2 .

It is a cyclic number.

It is not a de Polignac number, because 256517300253101 - 2¹⁸ = 256517299990957 is a prime.

It is a super-2 number, since 2×256517300253101² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (256517300253301) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128258650126550 + 128258650126551.

It is an arithmetic number, because the mean of its divisors is an integer number (128258650126551).

Almost surely, 2^{256517300253101} is an apocalyptic number.

It is an amenable number.

256517300253101 is a deficient number, since it is larger than the sum of its proper divisors (1).

256517300253101 is an equidigital number, since it uses as much as digits as its factorization.

256517300253101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 189000, while the sum is 41.

Adding to 256517300253101 its reverse (101352003715652), we get a palindrome (357869303968753).

The spelling of 256517300253101 in words is "two hundred fifty-six trillion, five hundred seventeen billion, three hundred million, two hundred fifty-three thousand, one hundred one".