1075686345409 has 75 divisors (see below), whose sum is σ = 1306676394607. Its totient is φ = 885346989696.

The previous prime is 1075686345361. The next prime is 1075686345421. The reversal of 1075686345409 is 9045436865701.

The square root of 1075686345409 is 1037153.

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

It can be written as a sum of positive squares in 7 ways, for example, as 981971993025 + 93714352384 = 990945^2 + 306128^2 .

It is not a de Polignac number, because 1075686345409 - 2²⁵ = 1075652790977 is a prime.

It is a super-2 number, since 2×1075686345409² (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 (1075686345449) by changing a digit.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 56615070802 + ... + 56615070820.

Almost surely, 2^{1075686345409} is an apocalyptic number.

1075686345409 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

1075686345409 is the 1037153-rd square number.

1075686345409 is the 518577-th centered octagonal number.

It is an amenable number.

1075686345409 is a deficient number, since it is larger than the sum of its proper divisors (230990049198).

1075686345409 is an frugal number, since it uses more digits than its factorization.

1075686345409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 21772800, while the sum is 58.

The spelling of 1075686345409 in words is "one trillion, seventy-five billion, six hundred eighty-six million, three hundred forty-five thousand, four hundred nine".