1005005101 has 2 divisors, whose sum is σ = 1005005102. Its totient is φ = 1005005100.

The previous prime is 1005005081. The next prime is 1005005143. The reversal of 1005005101 is 1015005001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 944087076 + 60918025 = 30726^2 + 7805^2 .

It is a cyclic number.

It is not a de Polignac number, because 1005005101 - 2²⁷ = 870787373 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1005005501) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 502502550 + 502502551.

It is an arithmetic number, because the mean of its divisors is an integer number (502502551).

Almost surely, 2^1005005101 is an apocalyptic number.

It is an amenable number.

1005005101 is a deficient number, since it is larger than the sum of its proper divisors (1).

1005005101 is an equidigital number, since it uses as much as digits as its factorization.

1005005101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 25, while the sum is 13.

The square root of 1005005101 is about 31701.8154212026. The cubic root of 1005005101 is about 1001.6655912655.

The spelling of 1005005101 in words is "one billion, five million, five thousand, one hundred one".