5209250284224 has 168 divisors, whose sum is σ = 17696445265408. Its totient is φ = 1488357192960.

The previous prime is 5209250284201. The next prime is 5209250284243. The reversal of 5209250284224 is 4224820529025.

5209250284224 is a `hidden beast` number, since 52 + 0 + 92 + 502 + 8 + 4 + 2 + 2 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a self number, because there is not a number n which added to its sum of digits gives 5209250284224.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23816632 + ... + 24034359.

Almost surely, 2^{5209250284224} is an apocalyptic number.

5209250284224 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

5209250284224 is an abundant number, since it is smaller than the sum of its proper divisors (12487194981184).

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

5209250284224 is an equidigital number, since it uses as much as digits as its factorization.

5209250284224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47851025 (or 47851003 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The spelling of 5209250284224 in words is "five trillion, two hundred nine billion, two hundred fifty million, two hundred eighty-four thousand, two hundred twenty-four".