1055517181677 has 120 divisors (see below), whose sum is σ = 1944980484480. Its totient is φ = 566826543360.

The previous prime is 1055517181673. The next prime is 1055517181751. The reversal of 1055517181677 is 7761817155501.

It is a happy number.

1055517181677 is a `hidden beast` number, since 1 + 0 + 5 + 551 + 7 + 1 + 8 + 16 + 77 = 666.

It is not a de Polignac number, because 1055517181677 - 2² = 1055517181673 is a prime.

It is a super-2 number, since 2×1055517181677² (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 (1055517181673) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 46612524 + ... + 46635162.

It is an arithmetic number, because the mean of its divisors is an integer number (16208170704).

Almost surely, 2^{1055517181677} is an apocalyptic number.

1055517181677 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

1055517181677 is a deficient number, since it is larger than the sum of its proper divisors (889463302803).

1055517181677 is a wasteful number, since it uses less digits than its factorization.

1055517181677 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23373 (or 23357 counting only the distinct ones).

The product of its (nonzero) digits is 2058000, while the sum is 54.

The spelling of 1055517181677 in words is "one trillion, fifty-five billion, five hundred seventeen million, one hundred eighty-one thousand, six hundred seventy-seven".