1137206827201 has 3 divisors (see below), whose sum is σ = 1137207893601. Its totient is φ = 1137205760802.

The previous prime is 1137206827187. The next prime is 1137206827219. The reversal of 1137206827201 is 1027286027311.

The square root of 1137206827201 is 1066399.

It is a perfect power (a square), and thus also a powerful number.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It is a de Polignac number, because none of the positive numbers 2^k-1137206827201 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1137206827291) 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 2 ways as a sum of consecutive naturals, for example, 533200 + ... + 1599598.

It is an arithmetic number, because the mean of its divisors is an integer number (379069297867).

Almost surely, 2^{1137206827201} is an apocalyptic number.

1137206827201 is the 1066399-th square number.

1137206827201 is the 533200-th centered octagonal number.

It is an amenable number.

1137206827201 is a deficient number, since it is larger than the sum of its proper divisors (1066400).

1137206827201 is an frugal number, since it uses more digits than its factorization.

1137206827201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2132798 (or 1066399 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 40.

The spelling of 1137206827201 in words is "one trillion, one hundred thirty-seven billion, two hundred six million, eight hundred twenty-seven thousand, two hundred one".