1292352891489 has 45 divisors (see below), whose sum is σ = 2122196349889. Its totient is φ = 783175967640.

The previous prime is 1292352891451. The next prime is 1292352891527. The reversal of 1292352891489 is 9841982532921.

The square root of 1292352891489 is 1136817.

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

1292352891489 is a `hidden beast` number, since 1 + 2 + 9 + 23 + 52 + 89 + 1 + 489 = 666.

It is an interprime number because it is at equal distance from previous prime (1292352891451) and next prime (1292352891527).

It is not a de Polignac number, because 1292352891489 - 2¹¹ = 1292352889441 is a prime.

It is a super-3 number, since 3×1292352891489³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (1292352891439) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 112539142 + ... + 112550624.

Almost surely, 2^{1292352891489} is an apocalyptic number.

1292352891489 is the 1136817-th square number.

1292352891489 is the 568409-th centered octagonal number.

It is an amenable number.

1292352891489 is a deficient number, since it is larger than the sum of its proper divisors (829843458400).

1292352891489 is an frugal number, since it uses more digits than its factorization.

1292352891489 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23000 (or 11497 counting only the distinct ones).

The product of its digits is 22394880, while the sum is 63.

The spelling of 1292352891489 in words is "one trillion, two hundred ninety-two billion, three hundred fifty-two million, eight hundred ninety-one thousand, four hundred eighty-nine".