63164556650753 has 8 divisors (see below), whose sum is σ = 63389689919976. Its totient is φ = 62939425852800.

The previous prime is 63164556650743. The next prime is 63164556650761. The reversal of 63164556650753 is 35705665546136.

It can be written as a sum of positive squares in 4 ways, for example, as 1784727667969 + 61379828982784 = 1335937^2 + 7834528^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 63164556650753 - 2⁴ = 63164556650737 is a prime.

It is a super-3 number, since 3×63164556650753³ (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (63164556650743) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 61811423 + ... + 62825003.

It is an arithmetic number, because the mean of its divisors is an integer number (7923711239997).

Almost surely, 2^{63164556650753} is an apocalyptic number.

It is an amenable number.

63164556650753 is a deficient number, since it is larger than the sum of its proper divisors (225133269223).

63164556650753 is a wasteful number, since it uses less digits than its factorization.

63164556650753 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1235635.

The product of its (nonzero) digits is 204120000, while the sum is 62.

The spelling of 63164556650753 in words is "sixty-three trillion, one hundred sixty-four billion, five hundred fifty-six million, six hundred fifty thousand, seven hundred fifty-three".