1284008525881 has 27 divisors (see below), whose sum is σ = 1417172316399. Its totient is φ = 1163092182912.

The previous prime is 1284008525873. The next prime is 1284008525903. The reversal of 1284008525881 is 1885258004821.

The square root of 1284008525881 is 1133141.

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., 775377108025 + 508631417856 = 880555^2 + 713184^2 .

It is not a de Polignac number, because 1284008525881 - 2³ = 1284008525873 is a prime.

It is a super-2 number, since 2×1284008525881² (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 (1284008525861) 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, 495181321 + ... + 495183913.

Almost surely, 2^{1284008525881} is an apocalyptic number.

1284008525881 is the 1133141-st square number.

1284008525881 is the 566571-st centered octagonal number.

It is an amenable number.

1284008525881 is a deficient number, since it is larger than the sum of its proper divisors (133163790518).

1284008525881 is an frugal number, since it uses more digits than its factorization.

1284008525881 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5270 (or 2635 counting only the distinct ones).

The product of its (nonzero) digits is 1638400, while the sum is 52.

The spelling of 1284008525881 in words is "one trillion, two hundred eighty-four billion, eight million, five hundred twenty-five thousand, eight hundred eighty-one".