481951125 has 24 divisors (see below), whose sum is σ = 868799256. Its totient is φ = 257040000.

The previous prime is 481951123. The next prime is 481951133. The reversal of 481951125 is 521159184.

481951125 is a `hidden beast` number, since 481 + 9 + 51 + 125 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 13704804 + 468246321 = 3702^2 + 21639^2 .

It is not a de Polignac number, because 481951125 - 2¹ = 481951123 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 481951125.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (481951123) 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 23 ways as a sum of consecutive naturals, for example, 213076 + ... + 215325.

It is an arithmetic number, because the mean of its divisors is an integer number (36199969).

Almost surely, 2^481951125 is an apocalyptic number.

481951125 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

481951125 is a deficient number, since it is larger than the sum of its proper divisors (386848131).

481951125 is a wasteful number, since it uses less digits than its factorization.

481951125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428422 (or 428409 counting only the distinct ones).

The product of its digits is 14400, while the sum is 36.

The square root of 481951125 is about 21953.3852742578. The cubic root of 481951125 is about 784.0329823735.

The spelling of 481951125 in words is "four hundred eighty-one million, nine hundred fifty-one thousand, one hundred twenty-five".