115513 has 2 divisors, whose sum is σ = 115514. Its totient is φ = 115512.

The previous prime is 115499. The next prime is 115523. The reversal of 115513 is 315511.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 110889 + 4624 = 333^2 + 68^2 .

It is a cyclic number.

It is not a de Polignac number, because 115513 - 2⁹ = 115001 is a prime.

It is not a weakly prime, because it can be changed into another prime (115523) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 57756 + 57757.

It is an arithmetic number, because the mean of its divisors is an integer number (57757).

2¹¹⁵⁵¹³ is an apocalyptic number.

It is an amenable number.

115513 is a deficient number, since it is larger than the sum of its proper divisors (1).

115513 is an equidigital number, since it uses as much as digits as its factorization.

115513 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 75, while the sum is 16.

The square root of 115513 is about 339.8720347425. The cubic root of 115513 is about 48.7016439199.

The spelling of 115513 in words is "one hundred fifteen thousand, five hundred thirteen".