109577550625 has 15 divisors (see below), whose sum is σ = 136938449263. Its totient is φ = 87655420000.

The previous prime is 109577550623. The next prime is 109577550683. The reversal of 109577550625 is 526055775901.

It is a happy number.

The square root of 109577550625 is 331025.

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

It can be written as a sum of positive squares in 7 ways, for example, as 13120098849 + 96457451776 = 114543^2 + 310576^2 .

It is not a de Polignac number, because 109577550625 - 2¹ = 109577550623 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (109577550623) 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 14 ways as a sum of consecutive naturals, for example, 8269005 + ... + 8282245.

Almost surely, 2^109577550625 is an apocalyptic number.

109577550625 is the 331025-th square number.

109577550625 is the 165513-rd centered octagonal number.

It is an amenable number.

109577550625 is a deficient number, since it is larger than the sum of its proper divisors (27360898638).

109577550625 is an frugal number, since it uses more digits than its factorization.

109577550625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26502 (or 13246 counting only the distinct ones).

The product of its (nonzero) digits is 3307500, while the sum is 52.

The spelling of 109577550625 in words is "one hundred nine billion, five hundred seventy-seven million, five hundred fifty thousand, six hundred twenty-five".