10283785281 has 81 divisors (see below), whose sum is σ = 19036596033. Its totient is φ = 5330057040.

The previous prime is 10283785273. The next prime is 10283785297. The reversal of 10283785281 is 18258738201.

The square root of 10283785281 is 101409.

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

10283785281 is a `hidden beast` number, since 10 + 283 + 7 + 85 + 281 = 666.

It is not a de Polignac number, because 10283785281 - 2³ = 10283785273 is a prime.

It is a super-2 number, since 2×10283785281² (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10283785081) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 23425260 + ... + 23425698.

Almost surely, 2^10283785281 is an apocalyptic number.

10283785281 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10283785281 is the 101409-th square number.

10283785281 is the 50705-th centered octagonal number.

It is an amenable number.

10283785281 is a deficient number, since it is larger than the sum of its proper divisors (8752810752).

10283785281 is an equidigital number, since it uses as much as digits as its factorization.

10283785281 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 920 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The spelling of 10283785281 in words is "ten billion, two hundred eighty-three million, seven hundred eighty-five thousand, two hundred eighty-one".