1205711606401 has 27 divisors (see below), whose sum is σ = 1263049172931. Its totient is φ = 1150948608624.

The previous prime is 1205711606387. The next prime is 1205711606447. The reversal of 1205711606401 is 1046061175021.

The square root of 1205711606401 is 1098049.

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

It can be written as a sum of positive squares in only one way, i.e., 1078887303025 + 126824303376 = 1038695^2 + 356124^2 .

It is not a de Polignac number, because 1205711606401 - 2¹³ = 1205711598209 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1205711606201) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2397040716 + ... + 2397041218.

Almost surely, 2^{1205711606401} is an apocalyptic number.

1205711606401 is the 1098049-th square number.

1205711606401 is the 549025-th centered octagonal number.

It is an amenable number.

1205711606401 is a deficient number, since it is larger than the sum of its proper divisors (57337566530).

1205711606401 is an frugal number, since it uses more digits than its factorization.

1205711606401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1198 (or 599 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 34.

The spelling of 1205711606401 in words is "one trillion, two hundred five billion, seven hundred eleven million, six hundred six thousand, four hundred one".