2758505765625 has 189 divisors, whose sum is σ = 5149078954227. Its totient is φ = 1423037700000.

The previous prime is 2758505765623. The next prime is 2758505765627. The reversal of 2758505765625 is 5265675058572.

It is a happy number.

The square root of 2758505765625 is 1660875.

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

2758505765625 is a `hidden beast` number, since 2 + 7 + 5 + 8 + 5 + 0 + 576 + 56 + 2 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (2758505765623) and next prime (2758505765627).

It can be written as a sum of positive squares in 3 ways, for example, as 2416715867241 + 341789898384 = 1554579^2 + 584628^2 .

It is not a de Polignac number, because 2758505765625 - 2¹ = 2758505765623 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2758505765623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 26781609324 + ... + 26781609426.

Almost surely, 2^{2758505765625} is an apocalyptic number.

2758505765625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2758505765625 is the 1660875-th square number.

2758505765625 is the 830438-th centered octagonal number.

It is an amenable number.

2758505765625 is a deficient number, since it is larger than the sum of its proper divisors (2390573188602).

2758505765625 is an frugal number, since it uses more digits than its factorization.

2758505765625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 176400000, while the sum is 63.

The spelling of 2758505765625 in words is "two trillion, seven hundred fifty-eight billion, five hundred five million, seven hundred sixty-five thousand, six hundred twenty-five".