4182100953 has 8 divisors (see below), whose sum is σ = 5670645600. Its totient is φ = 2740811808.

The previous prime is 4182100921. The next prime is 4182100969. The reversal of 4182100953 is 3590012814.

4182100953 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 4182100953 - 2⁵ = 4182100921 is a prime.

It is not an unprimeable number, because it can be changed into a prime (4182100903) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 11813668 + ... + 11814021.

It is an arithmetic number, because the mean of its divisors is an integer number (708830700).

Almost surely, 2^4182100953 is an apocalyptic number.

It is an amenable number.

4182100953 is a deficient number, since it is larger than the sum of its proper divisors (1488544647).

4182100953 is a wasteful number, since it uses less digits than its factorization.

4182100953 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23627751.

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 4182100953 is about 64669.1653958824. The cubic root of 4182100953 is about 1611.1334113683.

The spelling of 4182100953 in words is "four billion, one hundred eighty-two million, one hundred thousand, nine hundred fifty-three".