71505101 has 2 divisors, whose sum is σ = 71505102. Its totient is φ = 71505100.

The previous prime is 71505089. The next prime is 71505121. The reversal of 71505101 is 10150517.

It is an a-pointer prime, because the next prime (71505121) can be obtained adding 71505101 to its sum of digits (20).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 42237001 + 29268100 = 6499^2 + 5410^2 .

It is a cyclic number.

It is not a de Polignac number, because 71505101 - 2¹⁰ = 71504077 is a prime.

It is a super-2 number, since 2×71505101² = 10225958938040402, which contains 22 as substring.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (71505121) 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, 35752550 + 35752551.

It is an arithmetic number, because the mean of its divisors is an integer number (35752551).

Almost surely, 2^71505101 is an apocalyptic number.

It is an amenable number.

71505101 is a deficient number, since it is larger than the sum of its proper divisors (1).

71505101 is an equidigital number, since it uses as much as digits as its factorization.

71505101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 175, while the sum is 20.

The square root of 71505101 is about 8456.0688857175. The cubic root of 71505101 is about 415.0613950877.

Adding to 71505101 its reverse (10150517), we get a palindrome (81655618).

The spelling of 71505101 in words is "seventy-one million, five hundred five thousand, one hundred one".