481477105251 has 24 divisors (see below), whose sum is σ = 700147188000. Its totient is φ = 318825072000.

The previous prime is 481477105181. The next prime is 481477105273. The reversal of 481477105251 is 152501774184.

481477105251 is a `hidden beast` number, since 4 + 81 + 47 + 7 + 1 + 0 + 525 + 1 = 666.

It is not a de Polignac number, because 481477105251 - 2¹⁴ = 481477088867 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 481477105197 and 481477105206.

It is not an unprimeable number, because it can be changed into a prime (481477105651) 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 23 ways as a sum of consecutive naturals, for example, 24110911 + ... + 24130871.

It is an arithmetic number, because the mean of its divisors is an integer number (29172799500).

Almost surely, 2^481477105251 is an apocalyptic number.

481477105251 is a deficient number, since it is larger than the sum of its proper divisors (218670082749).

481477105251 is a wasteful number, since it uses less digits than its factorization.

481477105251 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37867 (or 37864 counting only the distinct ones).

The product of its (nonzero) digits is 313600, while the sum is 45.

The spelling of 481477105251 in words is "four hundred eighty-one billion, four hundred seventy-seven million, one hundred five thousand, two hundred fifty-one".