4219782525 has 144 divisors (see below), whose sum is σ = 8949927168. Its totient is φ = 1860480000.

The previous prime is 4219782503. The next prime is 4219782557. The reversal of 4219782525 is 5252879124.

4219782525 is a `hidden beast` number, since 42 + 1 + 9 + 7 + 82 + 525 = 666.

It is not a de Polignac number, because 4219782525 - 2⁵ = 4219782493 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6521752 + ... + 6522398.

It is an arithmetic number, because the mean of its divisors is an integer number (62152272).

Almost surely, 2^4219782525 is an apocalyptic number.

4219782525 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4219782525 is an abundant number, since it is smaller than the sum of its proper divisors (4730144643).

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

4219782525 is a wasteful number, since it uses less digits than its factorization.

4219782525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 812 (or 804 counting only the distinct ones).

The product of its digits is 403200, while the sum is 45.

The square root of 4219782525 is about 64959.8531787134. The cubic root of 4219782525 is about 1615.9578294482.

The spelling of 4219782525 in words is "four billion, two hundred nineteen million, seven hundred eighty-two thousand, five hundred twenty-five".