1137106055601 has 18 divisors (see below), whose sum is σ = 1648438486422. Its totient is φ = 755333527680.

The previous prime is 1137106055573. The next prime is 1137106055609. The reversal of 1137106055601 is 1065506017311.

1137106055601 is a `hidden beast` number, since 1 + 1 + 37 + 1 + 0 + 60 + 5 + 560 + 1 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 3730766400 + 1133375289201 = 61080^2 + 1064601^2 .

It is not a de Polignac number, because 1137106055601 - 2²⁶ = 1137038946737 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1137106055609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 132760 + ... + 1513881.

Almost surely, 2^{1137106055601} is an apocalyptic number.

It is an amenable number.

1137106055601 is a deficient number, since it is larger than the sum of its proper divisors (511332430821).

1137106055601 is an equidigital number, since it uses as much as digits as its factorization.

1137106055601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1647201 (or 1646921 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 36.

The spelling of 1137106055601 in words is "one trillion, one hundred thirty-seven billion, one hundred six million, fifty-five thousand, six hundred one".