1681105077135 has 64 divisors (see below), whose sum is σ = 3348441999360. Its totient is φ = 793052000640.

The previous prime is 1681105077103. The next prime is 1681105077161. The reversal of 1681105077135 is 5317705011861.

1681105077135 is a `hidden beast` number, since 1 + 6 + 8 + 1 + 1 + 0 + 507 + 7 + 135 = 666.

It is not a de Polignac number, because 1681105077135 - 2⁵ = 1681105077103 is a prime.

It is a super-2 number, since 2×1681105077135² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15243127 + ... + 15353016.

It is an arithmetic number, because the mean of its divisors is an integer number (52319406240).

Almost surely, 2^{1681105077135} is an apocalyptic number.

1681105077135 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1681105077135 is a deficient number, since it is larger than the sum of its proper divisors (1667336922225).

1681105077135 is a wasteful number, since it uses less digits than its factorization.

1681105077135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30596205 (or 30596199 counting only the distinct ones).

The product of its (nonzero) digits is 176400, while the sum is 45.

The spelling of 1681105077135 in words is "one trillion, six hundred eighty-one billion, one hundred five million, seventy-seven thousand, one hundred thirty-five".