1075167831409 has 27 divisors (see below), whose sum is σ = 1259659669593. Its totient is φ = 915021273768.

The previous prime is 1075167831389. The next prime is 1075167831421. The reversal of 1075167831409 is 9041387615701.

The square root of 1075167831409 is 1036903.

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

It is not a de Polignac number, because 1075167831409 - 2²⁵ = 1075134276977 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1075167831449) 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, 1212139164 + ... + 1212140050.

Almost surely, 2^{1075167831409} is an apocalyptic number.

1075167831409 is the 1036903-rd square number.

1075167831409 is the 518452-nd centered octagonal number.

It is an amenable number.

1075167831409 is a deficient number, since it is larger than the sum of its proper divisors (184491838184).

1075167831409 is an frugal number, since it uses more digits than its factorization.

1075167831409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2122 (or 1061 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 52.

The spelling of 1075167831409 in words is "one trillion, seventy-five billion, one hundred sixty-seven million, eight hundred thirty-one thousand, four hundred nine".