1075512110761 has 27 divisors (see below), whose sum is σ = 1224721504279. Its totient is φ = 943732790000.

The previous prime is 1075512110747. The next prime is 1075512110809. The reversal of 1075512110761 is 1670112155701.

It is a happy number.

The square root of 1075512110761 is 1037069.

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

It can be written as a sum of positive squares in only one way, i.e., 563972462361 + 511539648400 = 750981^2 + 715220^2 .

It is not a de Polignac number, because 1075512110761 - 2²⁷ = 1075377893033 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1075512110761.

It is not an unprimeable number, because it can be changed into a prime (1073512110761) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 330823386 + ... + 330826636.

Almost surely, 2^{1075512110761} is an apocalyptic number.

1075512110761 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1075512110761 is the 1037069-th square number.

1075512110761 is the 518535-th centered octagonal number.

It is an amenable number.

1075512110761 is a deficient number, since it is larger than the sum of its proper divisors (149209393518).

1075512110761 is an frugal number, since it uses more digits than its factorization.

1075512110761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6582 (or 3291 counting only the distinct ones).

The product of its (nonzero) digits is 14700, while the sum is 37.

The spelling of 1075512110761 in words is "one trillion, seventy-five billion, five hundred twelve million, one hundred ten thousand, seven hundred sixty-one".