4251525705 has 64 divisors (see below), whose sum is σ = 8647380480. Its totient is φ = 1941449472.

The previous prime is 4251525667. The next prime is 4251525739. The reversal of 4251525705 is 5075251524.

4251525705 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 4251525705 - 2¹⁸ = 4251263561 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 4251525705.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1167147 + ... + 1170783.

It is an arithmetic number, because the mean of its divisors is an integer number (135115320).

Almost surely, 2^4251525705 is an apocalyptic number.

4251525705 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4251525705 is an abundant number, since it is smaller than the sum of its proper divisors (4395854775).

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

4251525705 is a wasteful number, since it uses less digits than its factorization.

4251525705 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4895 (or 4889 counting only the distinct ones).

The product of its (nonzero) digits is 70000, while the sum is 36.

The square root of 4251525705 is about 65203.7246252083. The cubic root of 4251525705 is about 1619.9997085047. Note that the first 3 decimals are identical.

The spelling of 4251525705 in words is "four billion, two hundred fifty-one million, five hundred twenty-five thousand, seven hundred five".