2609727166225 has 9 divisors (see below), whose sum is σ = 3236071702033. Its totient is φ = 2087775271120.

The previous prime is 2609727166219. The next prime is 2609727166243. The reversal of 2609727166225 is 5226617279062.

It is a happy number.

The square root of 2609727166225 is 1615465.

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 906138359569 + 1703588806656 = 951913^2 + 1305216^2 .

It is a de Polignac number, because none of the positive numbers 2^k-2609727166225 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 7915779 + ... + 8238871.

Almost surely, 2^{2609727166225} is an apocalyptic number.

2609727166225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2609727166225 is the 1615465-th square number.

2609727166225 is the 807733-rd centered octagonal number.

It is an amenable number.

2609727166225 is a deficient number, since it is larger than the sum of its proper divisors (626344535808).

2609727166225 is an frugal number, since it uses more digits than its factorization.

2609727166225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 646196 (or 323098 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 55.

The spelling of 2609727166225 in words is "two trillion, six hundred nine billion, seven hundred twenty-seven million, one hundred sixty-six thousand, two hundred twenty-five".