249075855625 has 15 divisors (see below), whose sum is σ = 311260781073. Its totient is φ = 199250703000.

The previous prime is 249075855593. The next prime is 249075855631. The reversal of 249075855625 is 526558570942.

The square root of 249075855625 is 499075.

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

It can be written as a sum of positive squares in 2 ways, for example, as 19527547081 + 229548308544 = 139741^2 + 479112^2 .

It is not a de Polignac number, because 249075855625 - 2⁵ = 249075855593 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 249075855625.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 12466894 + ... + 12486856.

Almost surely, 2^249075855625 is an apocalyptic number.

249075855625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

249075855625 is the 499075-th square number.

249075855625 is the 249538-th centered octagonal number.

It is an amenable number.

249075855625 is a deficient number, since it is larger than the sum of its proper divisors (62184925448).

249075855625 is an frugal number, since it uses more digits than its factorization.

249075855625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39946 (or 19968 counting only the distinct ones).

The product of its (nonzero) digits is 30240000, while the sum is 58.

The spelling of 249075855625 in words is "two hundred forty-nine billion, seventy-five million, eight hundred fifty-five thousand, six hundred twenty-five".