481242745052081 has 16 divisors (see below), whose sum is σ = 502781500665360. Its totient is φ = 460033877587200.

The previous prime is 481242745052063. The next prime is 481242745052087. The reversal of 481242745052081 is 180250547242184.

It can be written as a sum of positive squares in 8 ways, for example, as 29380952976400 + 451861792075681 = 5420420^2 + 21257041^2 .

It is a de Polignac number, because none of the positive numbers 2^k-481242745052081 is a prime.

It is a super-2 number, since 2×481242745052081² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (481242745052087) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 95768291 + ... + 100668023.

It is an arithmetic number, because the mean of its divisors is an integer number (31423843791585).

Almost surely, 2^{481242745052081} is an apocalyptic number.

It is an amenable number.

481242745052081 is a deficient number, since it is larger than the sum of its proper divisors (21538755613279).

481242745052081 is a wasteful number, since it uses less digits than its factorization.

481242745052081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4933396.

The product of its (nonzero) digits is 5734400, while the sum is 53.

The spelling of 481242745052081 in words is "four hundred eighty-one trillion, two hundred forty-two billion, seven hundred forty-five million, fifty-two thousand, eighty-one".