2553962852081 has 2 divisors, whose sum is σ = 2553962852082. Its totient is φ = 2553962852080.

The previous prime is 2553962852057. The next prime is 2553962852107. The reversal of 2553962852081 is 1802582693552.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2531252362081 + 22710490000 = 1590991^2 + 150700^2 .

It is a cyclic number.

It is not a de Polignac number, because 2553962852081 - 2¹⁰ = 2553962851057 is a prime.

It is a super-2 number, since 2×2553962852081² (a number of 26 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2553982852081) 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 as a sum of consecutive naturals, namely, 1276981426040 + 1276981426041.

It is an arithmetic number, because the mean of its divisors is an integer number (1276981426041).

Almost surely, 2^{2553962852081} is an apocalyptic number.

It is an amenable number.

2553962852081 is a deficient number, since it is larger than the sum of its proper divisors (1).

2553962852081 is an equidigital number, since it uses as much as digits as its factorization.

2553962852081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10368000, while the sum is 56.

It can be divided in two parts, 2553962 and 852081, that added together give a palindrome (3406043).

The spelling of 2553962852081 in words is "two trillion, five hundred fifty-three billion, nine hundred sixty-two million, eight hundred fifty-two thousand, eighty-one".