481948101 has 6 divisors (see below), whose sum is σ = 696147270. Its totient is φ = 321298728.

The previous prime is 481948073. The next prime is 481948127. The reversal of 481948101 is 101849184.

It can be written as a sum of positive squares in only one way, i.e., 340956225 + 140991876 = 18465^2 + 11874^2 .

It is not a de Polignac number, because 481948101 - 2²⁵ = 448393669 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (481948001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 26774886 + ... + 26774903.

It is an arithmetic number, because the mean of its divisors is an integer number (116024545).

Almost surely, 2^481948101 is an apocalyptic number.

It is an amenable number.

481948101 is a deficient number, since it is larger than the sum of its proper divisors (214199169).

481948101 is a wasteful number, since it uses less digits than its factorization.

481948101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53549795 (or 53549792 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The square root of 481948101 is about 21953.3164009450. The cubic root of 481948101 is about 784.0313425664.

The spelling of 481948101 in words is "four hundred eighty-one million, nine hundred forty-eight thousand, one hundred one".