463521661477101 has 6 divisors (see below), whose sum is σ = 669531288800270. Its totient is φ = 309014440984728.

The previous prime is 463521661477013. The next prime is 463521661477103. The reversal of 463521661477101 is 101774166125364.

It is a happy number.

463521661477101 is a `hidden beast` number, since 4 + 6 + 3 + 5 + 2 + 1 + 6 + 61 + 477 + 101 = 666.

It can be written as a sum of positive squares in only one way, i.e., 454383579875625 + 9138081601476 = 21316275^2 + 3022926^2 .

It is not a de Polignac number, because 463521661477101 - 2¹⁸ = 463521661214957 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (463521661477103) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 25751203415386 + ... + 25751203415403.

Almost surely, 2^{463521661477101} is an apocalyptic number.

It is an amenable number.

463521661477101 is a deficient number, since it is larger than the sum of its proper divisors (206009627323169).

463521661477101 is a wasteful number, since it uses less digits than its factorization.

463521661477101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51502406830795 (or 51502406830792 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 463521661477101 in words is "four hundred sixty-three trillion, five hundred twenty-one billion, six hundred sixty-one million, four hundred seventy-seven thousand, one hundred one".