6123845025 has 135 divisors (see below), whose sum is σ = 11911671849. Its totient is φ = 3110166720.

The previous prime is 6123845023. The next prime is 6123845081. The reversal of 6123845025 is 5205483216.

The square root of 6123845025 is 78255.

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

6123845025 is a `hidden beast` number, since 612 + 38 + 4 + 5 + 0 + 2 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 581340321 + 5542504704 = 24111^2 + 74448^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is not a de Polignac number, because 6123845025 - 2¹ = 6123845023 is a prime.

It is not an unprimeable number, because it can be changed into a prime (6123845023) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 130294552 + ... + 130294598.

Almost surely, 2^6123845025 is an apocalyptic number.

6123845025 is the 78255-th square number.

6123845025 is the 39128-th centered octagonal number.

It is an amenable number.

6123845025 is a deficient number, since it is larger than the sum of its proper divisors (5787826824).

6123845025 is an equidigital number, since it uses as much as digits as its factorization.

6123845025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The cubic root of 6123845025 is about 1829.5378435205.

Multiplying 6123845025 by its sum of digits (36), we get a square (220458420900 = 469530²).

Multiplying 6123845025 by its product of nonzero digits (57600), we get a square (352733473440000 = 18781200²).

The spelling of 6123845025 in words is "six billion, one hundred twenty-three million, eight hundred forty-five thousand, twenty-five".