1025536000081 has 2 divisors, whose sum is σ = 1025536000082. Its totient is φ = 1025536000080.

The previous prime is 1025536000019. The next prime is 1025536000087. The reversal of 1025536000081 is 1800006355201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 653211486225 + 372324513856 = 808215^2 + 610184^2 .

It is a cyclic number.

It is not a de Polignac number, because 1025536000081 - 2¹⁷ = 1025535869009 is a prime.

It is a super-2 number, since 2×1025536000081² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1025536000087) 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, 512768000040 + 512768000041.

It is an arithmetic number, because the mean of its divisors is an integer number (512768000041).

Almost surely, 2^{1025536000081} is an apocalyptic number.

It is an amenable number.

1025536000081 is a deficient number, since it is larger than the sum of its proper divisors (1).

1025536000081 is an equidigital number, since it uses as much as digits as its factorization.

1025536000081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7200, while the sum is 31.

The spelling of 1025536000081 in words is "one trillion, twenty-five billion, five hundred thirty-six million, eighty-one", and thus it is an aban number.