83564355625 has 45 divisors (see below), whose sum is σ = 108189180099. Its totient is φ = 64521540000.

The previous prime is 83564355607. The next prime is 83564355643. The reversal of 83564355625 is 52655346538.

The square root of 83564355625 is 289075.

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

It is an interprime number because it is at equal distance from previous prime (83564355607) and next prime (83564355643).

It can be written as a sum of positive squares in 7 ways, for example, as 61089548569 + 22474807056 = 247163^2 + 149916^2 .

It is not a de Polignac number, because 83564355625 - 2²⁷ = 83430137897 is a prime.

It is a Duffinian number.

It is an unprimeable number.

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 44 ways as a sum of consecutive naturals, for example, 224032939 + ... + 224033311.

Almost surely, 2^83564355625 is an apocalyptic number.

83564355625 is the 289075-th square number.

83564355625 is the 144538-th centered octagonal number.

It is an amenable number.

83564355625 is a deficient number, since it is larger than the sum of its proper divisors (24624824474).

83564355625 is an frugal number, since it uses more digits than its factorization.

83564355625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 828 (or 409 counting only the distinct ones).

The product of its digits is 12960000, while the sum is 52.

The spelling of 83564355625 in words is "eighty-three billion, five hundred sixty-four million, three hundred fifty-five thousand, six hundred twenty-five".