52131334021001 has 2 divisors, whose sum is σ = 52131334021002. Its totient is φ = 52131334021000.

The previous prime is 52131334020959. The next prime is 52131334021043. The reversal of 52131334021001 is 10012043313125.

It is a balanced prime because it is at equal distance from previous prime (52131334020959) and next prime (52131334021043).

It can be written as a sum of positive squares in only one way, i.e., 51898480483600 + 232853537401 = 7204060^2 + 482549^2 .

It is a cyclic number.

It is not a de Polignac number, because 52131334021001 - 2⁶ = 52131334020937 is a prime.

It is a super-2 number, since 2×52131334021001² (a number of 28 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (52131334021201) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 26065667010500 + 26065667010501.

It is an arithmetic number, because the mean of its divisors is an integer number (26065667010501).

Almost surely, 2^{52131334021001} is an apocalyptic number.

It is an amenable number.

52131334021001 is a deficient number, since it is larger than the sum of its proper divisors (1).

52131334021001 is an equidigital number, since it uses as much as digits as its factorization.

52131334021001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2160, while the sum is 26.

Adding to 52131334021001 its reverse (10012043313125), we get a palindrome (62143377334126).

The spelling of 52131334021001 in words is "fifty-two trillion, one hundred thirty-one billion, three hundred thirty-four million, twenty-one thousand, one".