157513 has 2 divisors, whose sum is σ = 157514. Its totient is φ = 157512.

The previous prime is 157489. The next prime is 157519. The reversal of 157513 is 315751.

157513 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., 149769 + 7744 = 387^2 + 88^2 .

It is an emirp because it is prime and its reverse (315751) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-157513 is a prime.

It is not a weakly prime, because it can be changed into another prime (157519) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 78756 + 78757.

It is an arithmetic number, because the mean of its divisors is an integer number (78757).

2¹⁵⁷⁵¹³ is an apocalyptic number.

It is an amenable number.

157513 is a deficient number, since it is larger than the sum of its proper divisors (1).

157513 is an equidigital number, since it uses as much as digits as its factorization.

157513 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 525, while the sum is 22.

The square root of 157513 is about 396.8790747822. The cubic root of 157513 is about 54.0056006994.

The spelling of 157513 in words is "one hundred fifty-seven thousand, five hundred thirteen".