1086838006001 has 6 divisors (see below), whose sum is σ = 1194623593506. Its totient is φ = 988034550800.

The previous prime is 1086838005997. The next prime is 1086838006019. The reversal of 1086838006001 is 1006008386801.

It can be written as a sum of positive squares in only one way, i.e., 1012687992976 + 74150013025 = 1006324^2 + 272305^2 .

It is not a de Polignac number, because 1086838006001 - 2² = 1086838005997 is a prime.

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 1086838006001.

It is not an unprimeable number, because it can be changed into a prime (1086838006301) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4491066020 + ... + 4491066261.

It is an arithmetic number, because the mean of its divisors is an integer number (199103932251).

Almost surely, 2^{1086838006001} is an apocalyptic number.

1086838006001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1086838006001 is a deficient number, since it is larger than the sum of its proper divisors (107785587505).

1086838006001 is an equidigital number, since it uses as much as digits as its factorization.

1086838006001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8982132303 (or 8982132292 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 41.

The spelling of 1086838006001 in words is "one trillion, eighty-six billion, eight hundred thirty-eight million, six thousand, one".