157008041 has 2 divisors, whose sum is σ = 157008042. Its totient is φ = 157008040.

The previous prime is 157008031. The next prime is 157008079. The reversal of 157008041 is 140800751.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 148742416 + 8265625 = 12196^2 + 2875^2 .

It is a cyclic number.

It is not a de Polignac number, because 157008041 - 2¹⁰ = 157007017 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 157008041.

It is not a weakly prime, because it can be changed into another prime (157008031) 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, 78504020 + 78504021.

It is an arithmetic number, because the mean of its divisors is an integer number (78504021).

Almost surely, 2^157008041 is an apocalyptic number.

It is an amenable number.

157008041 is a deficient number, since it is larger than the sum of its proper divisors (1).

157008041 is an equidigital number, since it uses as much as digits as its factorization.

157008041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1120, while the sum is 26.

The square root of 157008041 is about 12530.2849528652. The cubic root of 157008041 is about 539.4782809705.

Adding to 157008041 its reverse (140800751), we get a palindrome (297808792).

The spelling of 157008041 in words is "one hundred fifty-seven million, eight thousand, forty-one".