4289964525 has 192 divisors, whose sum is σ = 9956505600. Its totient is φ = 1781092800.

The previous prime is 4289964509. The next prime is 4289964607. The reversal of 4289964525 is 5254699824.

4289964525 is a `hidden beast` number, since 4 + 28 + 9 + 96 + 4 + 525 = 666.

It is not a de Polignac number, because 4289964525 - 2⁴ = 4289964509 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4209466 + ... + 4210484.

It is an arithmetic number, because the mean of its divisors is an integer number (51856800).

Almost surely, 2^4289964525 is an apocalyptic number.

4289964525 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4289964525 is an abundant number, since it is smaller than the sum of its proper divisors (5666541075).

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

4289964525 is a wasteful number, since it uses less digits than its factorization.

4289964525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1068 (or 1045 counting only the distinct ones).

The product of its digits is 6220800, while the sum is 54.

The square root of 4289964525 is about 65497.8207652743. The cubic root of 4289964525 is about 1624.8673059301.

The spelling of 4289964525 in words is "four billion, two hundred eighty-nine million, nine hundred sixty-four thousand, five hundred twenty-five".