90513 has 12 divisors (see below), whose sum is σ = 133380. Its totient is φ = 59136.

The previous prime is 90511. The next prime is 90523. The reversal of 90513 is 31509.

It can be written as a sum of positive squares in 2 ways, for example, as 7569 + 82944 = 87^2 + 288^2 .

It is not a de Polignac number, because 90513 - 2¹ = 90511 is a prime.

It is a plaindrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (90511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 745 + ... + 857.

It is an arithmetic number, because the mean of its divisors is an integer number (11115).

2⁹⁰⁵¹³ is an apocalyptic number.

It is an amenable number.

90513 is a deficient number, since it is larger than the sum of its proper divisors (42867).

90513 is a wasteful number, since it uses less digits than its factorization.

90513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 135, while the sum is 18.

The square root of 90513 is about 300.8537850850. The cubic root of 90513 is about 44.8990328874.

The spelling of 90513 in words is "ninety thousand, five hundred thirteen".