52779861750625 has 45 divisors (see below), whose sum is σ = 67233866634319. Its totient is φ = 41419656668000.

The previous prime is 52779861750607. The next prime is 52779861750673. The reversal of 52779861750625 is 52605716897725.

The square root of 52779861750625 is 7264975.

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 29286724181841 + 23493137568784 = 5411721^2 + 4846972^2 .

It is not a de Polignac number, because 52779861750625 - 2²¹ = 52779859653473 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, 9626089134 + ... + 9626094616.

Almost surely, 2^{52779861750625} is an apocalyptic number.

52779861750625 is the 7264975-th square number.

52779861750625 is the 3632488-th centered octagonal number.

It is an amenable number.

52779861750625 is a deficient number, since it is larger than the sum of its proper divisors (14454004883694).

52779861750625 is an frugal number, since it uses more digits than its factorization.

52779861750625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11092 (or 5541 counting only the distinct ones).

The product of its (nonzero) digits is 444528000, while the sum is 70.

The spelling of 52779861750625 in words is "fifty-two trillion, seven hundred seventy-nine billion, eight hundred sixty-one million, seven hundred fifty thousand, six hundred twenty-five".