1005132568969 has 9 divisors (see below), whose sum is σ = 1009153780167. Its totient is φ = 1001127329784.

The previous prime is 1005132568963. The next prime is 1005132568991. The reversal of 1005132568969 is 9698652315001.

The square root of 1005132568969 is 1002563.

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., 66132808569 + 938999760400 = 257163^2 + 969020^2 .

It is not a de Polignac number, because 1005132568969 - 2³⁷ = 867693615497 is a prime.

It is a super-2 number, since 2×1005132568969² (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 (1005132568963) 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, 269687584 + ... + 269691310.

Almost surely, 2^{1005132568969} is an apocalyptic number.

1005132568969 is the 1002563-rd square number.

1005132568969 is the 501282-nd centered octagonal number.

It is an amenable number.

1005132568969 is a deficient number, since it is larger than the sum of its proper divisors (4021211198).

1005132568969 is an frugal number, since it uses more digits than its factorization.

1005132568969 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7992 (or 3996 counting only the distinct ones).

The product of its (nonzero) digits is 3499200, while the sum is 55.

The spelling of 1005132568969 in words is "one trillion, five billion, one hundred thirty-two million, five hundred sixty-eight thousand, nine hundred sixty-nine".