1082372349601 has 6 divisors (see below), whose sum is σ = 1120982541302. Its totient is φ = 1045049164320.

The previous prime is 1082372349571. The next prime is 1082372349647. The reversal of 1082372349601 is 1069432732801.

1082372349601 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 6746158225 + 1075626191376 = 82135^2 + 1037124^2 .

It is not a de Polignac number, because 1082372349601 - 2³¹ = 1080224865953 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1082372349661) 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, 643502340 + ... + 643504021.

Almost surely, 2^{1082372349601} is an apocalyptic number.

It is an amenable number.

1082372349601 is a deficient number, since it is larger than the sum of its proper divisors (38610191701).

1082372349601 is an equidigital number, since it uses as much as digits as its factorization.

1082372349601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1287006419 (or 1287006390 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 46.

The spelling of 1082372349601 in words is "one trillion, eighty-two billion, three hundred seventy-two million, three hundred forty-nine thousand, six hundred one".