52766763510401 has 8 divisors (see below), whose sum is σ = 55073639966184. Its totient is φ = 50508452874880.

The previous prime is 52766763510379. The next prime is 52766763510413. The reversal of 52766763510401 is 10401536766725.

It can be written as a sum of positive squares in 4 ways, for example, as 2076293674225 + 50690469836176 = 1440935^2 + 7119724^2 .

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 52766763510401 - 2¹⁰ = 52766763509377 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (53).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (52766763510301) 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, 12141452846 + ... + 12141457191.

It is an arithmetic number, because the mean of its divisors is an integer number (6884204995773).

Almost surely, 2^{52766763510401} is an apocalyptic number.

It is an amenable number.

52766763510401 is a deficient number, since it is larger than the sum of its proper divisors (2306876455783).

52766763510401 is a wasteful number, since it uses less digits than its factorization.

52766763510401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24282910131.

The product of its (nonzero) digits is 6350400, while the sum is 53.

The spelling of 52766763510401 in words is "fifty-two trillion, seven hundred sixty-six billion, seven hundred sixty-three million, five hundred ten thousand, four hundred one".