52505213406337 has 2 divisors, whose sum is σ = 52505213406338. Its totient is φ = 52505213406336.

The previous prime is 52505213406299. The next prime is 52505213406391. The reversal of 52505213406337 is 73360431250525.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 35364917879281 + 17140295527056 = 5946841^2 + 4140084^2 .

It is a cyclic number.

It is not a de Polignac number, because 52505213406337 - 2²³ = 52505205017729 is a prime.

It is not a weakly prime, because it can be changed into another prime (52505213400337) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 26252606703168 + 26252606703169.

It is an arithmetic number, because the mean of its divisors is an integer number (26252606703169).

Almost surely, 2^{52505213406337} is an apocalyptic number.

It is an amenable number.

52505213406337 is a deficient number, since it is larger than the sum of its proper divisors (1).

52505213406337 is an equidigital number, since it uses as much as digits as its factorization.

52505213406337 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2268000, while the sum is 46.

The spelling of 52505213406337 in words is "fifty-two trillion, five hundred five billion, two hundred thirteen million, four hundred six thousand, three hundred thirty-seven".