1154006617009 has 27 divisors (see below), whose sum is σ = 1270194844737. Its totient is φ = 1048190064768.

The previous prime is 1154006617007. The next prime is 1154006617013. The reversal of 1154006617009 is 9007166004511.

The square root of 1154006617009 is 1074247.

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

It can be written as a sum of positive squares in 4 ways, for example, as 114071685025 + 1039934931984 = 337745^2 + 1019772^2 .

It is not a de Polignac number, because 1154006617009 - 2¹ = 1154006617007 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1154006617007) 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, 529602682 + ... + 529604860.

Almost surely, 2^{1154006617009} is an apocalyptic number.

1154006617009 is the 1074247-th square number.

1154006617009 is the 537124-th centered octagonal number.

It is an amenable number.

1154006617009 is a deficient number, since it is larger than the sum of its proper divisors (116188227728).

1154006617009 is an frugal number, since it uses more digits than its factorization.

1154006617009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4450 (or 2225 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 40.

The spelling of 1154006617009 in words is "one trillion, one hundred fifty-four billion, six million, six hundred seventeen thousand, nine".