52105267201 has 12 divisors (see below), whose sum is σ = 57981877716. Its totient is φ = 46545636960.

The previous prime is 52105267199. The next prime is 52105267217. The reversal of 52105267201 is 10276250125.

It can be written as a sum of positive squares in 2 ways, for example, as 30840628225 + 21264638976 = 175615^2 + 145824^2 .

It is not a de Polignac number, because 52105267201 - 2¹ = 52105267199 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (52105267001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2072886 + ... + 2097871.

It is an arithmetic number, because the mean of its divisors is an integer number (4831823143).

Almost surely, 2^52105267201 is an apocalyptic number.

It is an amenable number.

52105267201 is a deficient number, since it is larger than the sum of its proper divisors (5876610515).

52105267201 is a wasteful number, since it uses less digits than its factorization.

52105267201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4170832 (or 4170801 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 31.

The spelling of 52105267201 in words is "fifty-two billion, one hundred five million, two hundred sixty-seven thousand, two hundred one".