463264421251601 has 2 divisors, whose sum is σ = 463264421251602. Its totient is φ = 463264421251600.

The previous prime is 463264421251543. The next prime is 463264421251603. The reversal of 463264421251601 is 106152124462364.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 363319433683600 + 99944987568001 = 19060940^2 + 9997249^2 .

It is a cyclic number.

It is not a de Polignac number, because 463264421251601 - 2²² = 463264417057297 is a prime.

It is a super-2 number, since 2×463264421251601² (a number of 30 digits) contains 22 as substring.

Together with 463264421251603, 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 (463264421251603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 231632210625800 + 231632210625801.

It is an arithmetic number, because the mean of its divisors is an integer number (231632210625801).

Almost surely, 2^{463264421251601} is an apocalyptic number.

It is an amenable number.

463264421251601 is a deficient number, since it is larger than the sum of its proper divisors (1).

463264421251601 is an equidigital number, since it uses as much as digits as its factorization.

463264421251601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1658880, while the sum is 47.

The spelling of 463264421251601 in words is "four hundred sixty-three trillion, two hundred sixty-four billion, four hundred twenty-one million, two hundred fifty-one thousand, six hundred one".