1005010157 has 2 divisors, whose sum is σ = 1005010158. Its totient is φ = 1005010156.

The previous prime is 1005010141. The next prime is 1005010159. The reversal of 1005010157 is 7510105001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 770950756 + 234059401 = 27766^2 + 15299^2 .

It is a cyclic number.

It is not a de Polignac number, because 1005010157 - 2⁴ = 1005010141 is a prime.

Together with 1005010159, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1005010159) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 502505078 + 502505079.

It is an arithmetic number, because the mean of its divisors is an integer number (502505079).

Almost surely, 2^1005010157 is an apocalyptic number.

It is an amenable number.

1005010157 is a deficient number, since it is larger than the sum of its proper divisors (1).

1005010157 is an equidigital number, since it uses as much as digits as its factorization.

1005010157 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 1005010157 is about 31701.8951641696. The cubic root of 1005010157 is about 1001.6672709959.

Adding to 1005010157 its reverse (7510105001), we get a palindrome (8515115158).

The spelling of 1005010157 in words is "one billion, five million, ten thousand, one hundred fifty-seven".