12635783281 has 15 divisors (see below), whose sum is σ = 13914252955. Its totient is φ = 11474710720.

The previous prime is 12635783269. The next prime is 12635783323. The reversal of 12635783281 is 18238753621.

The square root of 12635783281 is 112409.

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., 243640881 + 12392142400 = 15609^2 + 111320^2 .

It is not a de Polignac number, because 12635783281 - 2⁵ = 12635783249 is a prime.

It is a super-2 number, since 2×12635783281² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12635783201) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 13601025 + ... + 13601953.

Almost surely, 2^12635783281 is an apocalyptic number.

12635783281 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12635783281 is the 112409-th square number.

12635783281 is the 56205-th centered octagonal number.

It is an amenable number.

12635783281 is a deficient number, since it is larger than the sum of its proper divisors (1278469674).

12635783281 is an frugal number, since it uses more digits than its factorization.

12635783281 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1902 (or 940 counting only the distinct ones).

The product of its digits is 483840, while the sum is 46.

The spelling of 12635783281 in words is "twelve billion, six hundred thirty-five million, seven hundred eighty-three thousand, two hundred eighty-one".