481633415201 has 2 divisors, whose sum is σ = 481633415202. Its totient is φ = 481633415200.

The previous prime is 481633415191. The next prime is 481633415203. The reversal of 481633415201 is 102514336184.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 475480581601 + 6152833600 = 689551^2 + 78440^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-481633415201 is a prime.

Together with 481633415203, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (481633415203) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 240816707600 + 240816707601.

It is an arithmetic number, because the mean of its divisors is an integer number (240816707601).

Almost surely, 2^481633415201 is an apocalyptic number.

It is an amenable number.

481633415201 is a deficient number, since it is larger than the sum of its proper divisors (1).

481633415201 is an equidigital number, since it uses as much as digits as its factorization.

481633415201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 69120, while the sum is 38.

The spelling of 481633415201 in words is "four hundred eighty-one billion, six hundred thirty-three million, four hundred fifteen thousand, two hundred one".