4251517875 has 160 divisors (see below), whose sum is σ = 8806786560. Its totient is φ = 2023272000.

The previous prime is 4251517813. The next prime is 4251517877. The reversal of 4251517875 is 5787151524.

4251517875 is a `hidden beast` number, since 4 + 2 + 51 + 517 + 87 + 5 = 666.

4251517875 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 4251517875 - 2⁷ = 4251517747 is a prime.

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

It is a self number, because there is not a number n which added to its sum of digits gives 4251517875.

It is not an unprimeable number, because it can be changed into a prime (4251517877) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 6570802 + ... + 6571448.

It is an arithmetic number, because the mean of its divisors is an integer number (55042416).

Almost surely, 2^4251517875 is an apocalyptic number.

4251517875 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

4251517875 is an abundant number, since it is smaller than the sum of its proper divisors (4555268685).

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

4251517875 is a wasteful number, since it uses less digits than its factorization.

4251517875 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 744 (or 725 counting only the distinct ones).

The product of its digits is 392000, while the sum is 45.

The square root of 4251517875 is about 65203.6645825984. The cubic root of 4251517875 is about 1619.9987139907.

The spelling of 4251517875 in words is "four billion, two hundred fifty-one million, five hundred seventeen thousand, eight hundred seventy-five".