1082251137969 has 27 divisors (see below), whose sum is σ = 1634282609323. Its totient is φ = 690085386672.

The previous prime is 1082251137967. The next prime is 1082251137977. The reversal of 1082251137969 is 9697311522801.

It is a happy number.

The square root of 1082251137969 is 1040313.

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

1082251137969 is a `hidden beast` number, since 1 + 0 + 8 + 2 + 2 + 511 + 37 + 96 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 32060693025 + 1050190444944 = 179055^2 + 1024788^2 .

It is not a de Polignac number, because 1082251137969 - 2¹ = 1082251137967 is a prime.

It is a super-2 number, since 2×1082251137969² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1082251137967) 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, 71774059 + ... + 71789135.

Almost surely, 2^{1082251137969} is an apocalyptic number.

1082251137969 is the 1040313-rd square number.

1082251137969 is the 520157-th centered octagonal number.

It is an amenable number.

1082251137969 is a deficient number, since it is larger than the sum of its proper divisors (552031471354).

1082251137969 is an frugal number, since it uses more digits than its factorization.

1082251137969 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30206 (or 15103 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 54.

The spelling of 1082251137969 in words is "one trillion, eighty-two billion, two hundred fifty-one million, one hundred thirty-seven thousand, nine hundred sixty-nine".