157000013 has 2 divisors, whose sum is σ = 157000014. Its totient is φ = 157000012.

The previous prime is 156999989. The next prime is 157000033. The reversal of 157000013 is 310000751.

157000013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 144312169 + 12687844 = 12013^2 + 3562^2 .

It is a cyclic number.

It is not a de Polignac number, because 157000013 - 2⁶ = 156999949 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 156999955 and 157000000.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (157000033) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 78500006 + 78500007.

It is an arithmetic number, because the mean of its divisors is an integer number (78500007).

Almost surely, 2^157000013 is an apocalyptic number.

It is an amenable number.

157000013 is a deficient number, since it is larger than the sum of its proper divisors (1).

157000013 is an equidigital number, since it uses as much as digits as its factorization.

157000013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 105, while the sum is 17.

The square root of 157000013 is about 12529.9646048981. The cubic root of 157000013 is about 539.4690861008.

Adding to 157000013 its reverse (310000751), we get a palindrome (467000764).

The spelling of 157000013 in words is "one hundred fifty-seven million, thirteen", and thus it is an aban number.