52106401 has 2 divisors, whose sum is σ = 52106402. Its totient is φ = 52106400.

The previous prime is 52106387. The next prime is 52106413. The reversal of 52106401 is 10460125.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 52056225 + 50176 = 7215^2 + 224^2 .

It is a cyclic number.

It is not a de Polignac number, because 52106401 - 2²⁵ = 18551969 is a prime.

It is not a weakly prime, because it can be changed into another prime (52106491) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 26053200 + 26053201.

It is an arithmetic number, because the mean of its divisors is an integer number (26053201).

Almost surely, 2^52106401 is an apocalyptic number.

It is an amenable number.

52106401 is a deficient number, since it is larger than the sum of its proper divisors (1).

52106401 is an equidigital number, since it uses as much as digits as its factorization.

52106401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 52106401 is about 7218.4763627791. The cubic root of 52106401 is about 373.5055210360.

Adding to 52106401 its reverse (10460125), we get a palindrome (62566526).

It can be divided in two parts, 5210 and 6401, that added together give a palindrome (11611).

The spelling of 52106401 in words is "fifty-two million, one hundred six thousand, four hundred one".