2456565625 has 24 divisors (see below), whose sum is σ = 3084927552. Its totient is φ = 1956030000.

The previous prime is 2456565589. The next prime is 2456565667. The reversal of 2456565625 is 5265656542.

It is not a de Polignac number, because 2456565625 - 2¹⁹ = 2456041337 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 23 ways as a sum of consecutive naturals, for example, 707644 + ... + 711106.

It is an arithmetic number, because the mean of its divisors is an integer number (128538648).

Almost surely, 2^2456565625 is an apocalyptic number.

2456565625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2456565625 is a deficient number, since it is larger than the sum of its proper divisors (628361927).

2456565625 is an frugal number, since it uses more digits than its factorization.

2456565625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3715 (or 3695 counting only the distinct ones).

The product of its digits is 2160000, while the sum is 46.

The square root of 2456565625 is about 49563.7531367430. The cubic root of 2456565625 is about 1349.3029094286.

The spelling of 2456565625 in words is "two billion, four hundred fifty-six million, five hundred sixty-five thousand, six hundred twenty-five".