51001141 has 2 divisors, whose sum is σ = 51001142. Its totient is φ = 51001140.

The previous prime is 51001123. The next prime is 51001151. The reversal of 51001141 is 14110015.

51001141 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 42850116 + 8151025 = 6546^2 + 2855^2 .

It is a cyclic number.

It is not a de Polignac number, because 51001141 - 2⁵ = 51001109 is a prime.

It is a super-2 number, since 2×51001141² = 5202232766603762, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (51001151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 25500570 + 25500571.

It is an arithmetic number, because the mean of its divisors is an integer number (25500571).

Almost surely, 2^51001141 is an apocalyptic number.

It is an amenable number.

51001141 is a deficient number, since it is larger than the sum of its proper divisors (1).

51001141 is an equidigital number, since it uses as much as digits as its factorization.

51001141 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 20, while the sum is 13.

The square root of 51001141 is about 7141.5083140748. The cubic root of 51001141 is about 370.8457424736.

Adding to 51001141 its reverse (14110015), we get a palindrome (65111156).

It can be divided in two parts, 5100 and 1141, that added together give a square (6241 = 79²).

The spelling of 51001141 in words is "fifty-one million, one thousand, one hundred forty-one".