52006346401 has 3 divisors (see below), whose sum is σ = 52006574451. Its totient is φ = 52006118352.

The previous prime is 52006346383. The next prime is 52006346417. The reversal of 52006346401 is 10464360025.

The square root of 52006346401 is 228049.

It is a perfect power (a square), and thus also a powerful number.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in only one way, i.e., 44099580001 + 7906766400 = 209999^2 + 88920^2 .

It is not a de Polignac number, because 52006346401 - 2⁵ = 52006346369 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (52006346801) 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 in 2 ways as a sum of consecutive naturals, for example, 114025 + ... + 342073.

It is an arithmetic number, because the mean of its divisors is an integer number (17335524817).

Almost surely, 2^52006346401 is an apocalyptic number.

52006346401 is the 228049-th square number.

52006346401 is the 114025-th centered octagonal number.

It is an amenable number.

52006346401 is a deficient number, since it is larger than the sum of its proper divisors (228050).

52006346401 is an frugal number, since it uses more digits than its factorization.

52006346401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456098 (or 228049 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 31.

The spelling of 52006346401 in words is "fifty-two billion, six million, three hundred forty-six thousand, four hundred one".