1005505141 has 2 divisors, whose sum is σ = 1005505142. Its totient is φ = 1005505140.

The previous prime is 1005505129. The next prime is 1005505147. The reversal of 1005505141 is 1415055001.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1005207025 + 298116 = 31705^2 + 546^2 .

It is a cyclic number.

It is not a de Polignac number, because 1005505141 - 2⁹ = 1005504629 is a prime.

It is a super-2 number, since 2×1005505141² = 2022081177154859762, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1005505147) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 502752570 + 502752571.

It is an arithmetic number, because the mean of its divisors is an integer number (502752571).

Almost surely, 2^1005505141 is an apocalyptic number.

It is an amenable number.

1005505141 is a deficient number, since it is larger than the sum of its proper divisors (1).

1005505141 is an equidigital number, since it uses as much as digits as its factorization.

1005505141 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 500, while the sum is 22.

The square root of 1005505141 is about 31709.7010550399. The cubic root of 1005505141 is about 1001.8316898637.

It can be divided in two parts, 1005 and 505141, that multiplied together give a palindrome (507666705).

The spelling of 1005505141 in words is "one billion, five million, five hundred five thousand, one hundred forty-one".