5072166109609 has 9 divisors (see below), whose sum is σ = 5080257438231. Its totient is φ = 5064087658320.

The previous prime is 5072166109537. The next prime is 5072166109639. The reversal of 5072166109609 is 9069016612705.

The square root of 5072166109609 is 2252147.

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., 788623922025 + 4283542187584 = 888045^2 + 2069672^2 .

It is not a de Polignac number, because 5072166109609 - 2⁹ = 5072166109097 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (5072166109639) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1826489829 + ... + 1826492605.

Almost surely, 2^{5072166109609} is an apocalyptic number.

5072166109609 is the 2252147-th square number.

5072166109609 is the 1126074-th centered octagonal number.

It is an amenable number.

5072166109609 is a deficient number, since it is larger than the sum of its proper divisors (8091328622).

5072166109609 is an frugal number, since it uses more digits than its factorization.

5072166109609 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7176 (or 3588 counting only the distinct ones).

The product of its (nonzero) digits is 1224720, while the sum is 52.

The spelling of 5072166109609 in words is "five trillion, seventy-two billion, one hundred sixty-six million, one hundred nine thousand, six hundred nine".