480681300541 has 16 divisors (see below), whose sum is σ = 519121798384. Its totient is φ = 442451165184.

The previous prime is 480681300527. The next prime is 480681300551. The reversal of 480681300541 is 145003186084.

480681300541 = 490245² + 490246².

It can be written as a sum of positive squares in 8 ways, for example, as 1159674916 + 479521625625 = 34054^2 + 692475^2 .

It is a 9-Lehmer number, since φ(480681300541) divides (480681300541-1)⁹.

It is a cyclic number.

It is not a de Polignac number, because 480681300541 - 2³⁵ = 446321562173 is a prime.

It is a super-3 number, since 3×480681300541³ (a number of 36 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 480681300494 and 480681300503.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480681300551) 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, 11332525 + ... + 11374861.

It is an arithmetic number, because the mean of its divisors is an integer number (32445112399).

Almost surely, 2^480681300541 is an apocalyptic number.

480681300541 is the 490246-th centered square number.

It is an amenable number.

480681300541 is a deficient number, since it is larger than the sum of its proper divisors (38440497843).

480681300541 is a wasteful number, since it uses less digits than its factorization.

480681300541 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44800.

The product of its (nonzero) digits is 92160, while the sum is 40.

The spelling of 480681300541 in words is "four hundred eighty billion, six hundred eighty-one million, three hundred thousand, five hundred forty-one".