1006834756281 has 16 divisors (see below), whose sum is σ = 1344565310400. Its totient is φ = 670164523520.

The previous prime is 1006834756273. The next prime is 1006834756289. The reversal of 1006834756281 is 1826574386001.

1006834756281 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1006834756273) and next prime (1006834756289).

It is a cyclic number.

It is not a de Polignac number, because 1006834756281 - 2³ = 1006834756273 is a prime.

It is a super-2 number, since 2×1006834756281² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1006834756289) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4767670 + ... + 4974368.

It is an arithmetic number, because the mean of its divisors is an integer number (84035331900).

Almost surely, 2^{1006834756281} is an apocalyptic number.

It is an amenable number.

1006834756281 is a deficient number, since it is larger than the sum of its proper divisors (337730554119).

1006834756281 is a wasteful number, since it uses less digits than its factorization.

1006834756281 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209256.

The product of its (nonzero) digits is 1935360, while the sum is 51.

The spelling of 1006834756281 in words is "one trillion, six billion, eight hundred thirty-four million, seven hundred fifty-six thousand, two hundred eighty-one".