541607631060121 has 2 divisors, whose sum is σ = 541607631060122. Its totient is φ = 541607631060120.

The previous prime is 541607631060113. The next prime is 541607631060127. The reversal of 541607631060121 is 121060136706145.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 447414084187225 + 94193546872896 = 21152165^2 + 9705336^2 .

It is a cyclic number.

It is not a de Polignac number, because 541607631060121 - 2³ = 541607631060113 is a prime.

It is a super-2 number, since 2×541607631060121² (a number of 30 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (541607631060127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 270803815530060 + 270803815530061.

It is an arithmetic number, because the mean of its divisors is an integer number (270803815530061).

Almost surely, 2^{541607631060121} is an apocalyptic number.

It is an amenable number.

541607631060121 is a deficient number, since it is larger than the sum of its proper divisors (1).

541607631060121 is an equidigital number, since it uses as much as digits as its factorization.

541607631060121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 181440, while the sum is 43.

Adding to 541607631060121 its reverse (121060136706145), we get a palindrome (662667767766266).

The spelling of 541607631060121 in words is "five hundred forty-one trillion, six hundred seven billion, six hundred thirty-one million, sixty thousand, one hundred twenty-one".