1071758088081 has 64 divisors (see below), whose sum is σ = 1696162406400. Its totient is φ = 667630641600.

The previous prime is 1071758088077. The next prime is 1071758088091. The reversal of 1071758088081 is 1808808571701.

1071758088081 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1071758088081 - 2² = 1071758088077 is a prime.

It is a super-2 number, since 2×1071758088081² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1071758088091) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3924850 + ... + 4189028.

It is an arithmetic number, because the mean of its divisors is an integer number (26502537600).

Almost surely, 2^{1071758088081} is an apocalyptic number.

It is an amenable number.

1071758088081 is a deficient number, since it is larger than the sum of its proper divisors (624404318319).

1071758088081 is a wasteful number, since it uses less digits than its factorization.

1071758088081 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264387 (or 264381 counting only the distinct ones).

The product of its (nonzero) digits is 1003520, while the sum is 54.

The spelling of 1071758088081 in words is "one trillion, seventy-one billion, seven hundred fifty-eight million, eighty-eight thousand, eighty-one".