250084007056 has 135 divisors (see below), whose sum is σ = 537014990169. Its totient is φ = 112770942336.

The previous prime is 250084007053. The next prime is 250084007183. The reversal of 250084007056 is 650700480052.

It is a happy number.

The square root of 250084007056 is 500084.

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

It can be written as a sum of positive squares in only one way, i.e., 36994675600 + 213089331456 = 192340^2 + 461616^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (250084007053) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 1534257631 + ... + 1534257793.

Almost surely, 2^250084007056 is an apocalyptic number.

250084007056 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

250084007056 is the 500084-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 250084007056

250084007056 is an abundant number, since it is smaller than the sum of its proper divisors (286930983113).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

250084007056 is an equidigital number, since it uses as much as digits as its factorization.

250084007056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 37.

It can be divided in two parts, 25008 and 4007056, that added together give a square (4032064 = 2008²).

The spelling of 250084007056 in words is "two hundred fifty billion, eighty-four million, seven thousand, fifty-six".