10006527771381 has 8 divisors (see below), whose sum is σ = 13345142011264. Its totient is φ = 6669466022880.

The previous prime is 10006527771379. The next prime is 10006527771419. The reversal of 10006527771381 is 18317772560001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 10006527771381 - 2¹ = 10006527771379 is a prime.

It is a super-2 number, since 2×10006527771381² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10006527771381.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10006527771341) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 388107805 + ... + 388133586.

It is an arithmetic number, because the mean of its divisors is an integer number (1668142751408).

Almost surely, 2^{10006527771381} is an apocalyptic number.

It is an amenable number.

10006527771381 is a deficient number, since it is larger than the sum of its proper divisors (3338614239883).

10006527771381 is an equidigital number, since it uses as much as digits as its factorization.

10006527771381 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 776245691.

The product of its (nonzero) digits is 493920, while the sum is 48.

The spelling of 10006527771381 in words is "ten trillion, six billion, five hundred twenty-seven million, seven hundred seventy-one thousand, three hundred eighty-one".