1071184080351 has 64 divisors (see below), whose sum is σ = 1820631859200. Its totient is φ = 555350029920.

The previous prime is 1071184080251. The next prime is 1071184080419. The reversal of 1071184080351 is 1530804811701.

It is not a de Polignac number, because 1071184080351 - 2⁷ = 1071184080223 is a prime.

It is a super-2 number, since 2×1071184080351² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1071184080151) 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, 5599386 + ... + 5787528.

It is an arithmetic number, because the mean of its divisors is an integer number (28447372800).

Almost surely, 2^{1071184080351} is an apocalyptic number.

1071184080351 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1071184080351 is a deficient number, since it is larger than the sum of its proper divisors (749447778849).

1071184080351 is a wasteful number, since it uses less digits than its factorization.

1071184080351 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188681 (or 188667 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 39.

The spelling of 1071184080351 in words is "one trillion, seventy-one billion, one hundred eighty-four million, eighty thousand, three hundred fifty-one".