1077105638569 has 9 divisors (see below), whose sum is σ = 1136799892893. Its totient is φ = 1020397187052.

The previous prime is 1077105638513. The next prime is 1077105638599. The reversal of 1077105638569 is 9658365017701.

It is a happy number.

The square root of 1077105638569 is 1037837.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 1077105638569 - 2¹¹ = 1077105636521 is a prime.

It is a super-2 number, since 2×1077105638569² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1077105638599) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 19691592 + ... + 19746214.

Almost surely, 2^{1077105638569} is an apocalyptic number.

1077105638569 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

1077105638569 is the 1037837-th square number.

1077105638569 is the 518919-th centered octagonal number.

It is an amenable number.

1077105638569 is a deficient number, since it is larger than the sum of its proper divisors (59694254324).

1077105638569 is an frugal number, since it uses more digits than its factorization.

1077105638569 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109284 (or 54642 counting only the distinct ones).

The product of its (nonzero) digits is 9525600, while the sum is 58.

The spelling of 1077105638569 in words is "one trillion, seventy-seven billion, one hundred five million, six hundred thirty-eight thousand, five hundred sixty-nine".