963513 has 6 divisors (see below), whose sum is σ = 1391754. Its totient is φ = 642336.

The previous prime is 963499. The next prime is 963559. The reversal of 963513 is 315369.

It can be written as a sum of positive squares in only one way, i.e., 831744 + 131769 = 912^2 + 363^2 .

It is not a de Polignac number, because 963513 - 2⁴ = 963497 is a prime.

It is not an unprimeable number, because it can be changed into a prime (963913) 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 in 5 ways as a sum of consecutive naturals, for example, 53520 + ... + 53537.

It is an arithmetic number, because the mean of its divisors is an integer number (231959).

2⁹⁶³⁵¹³ is an apocalyptic number.

It is an amenable number.

963513 is a deficient number, since it is larger than the sum of its proper divisors (428241).

963513 is a wasteful number, since it uses less digits than its factorization.

963513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107063 (or 107060 counting only the distinct ones).

The product of its digits is 2430, while the sum is 27.

The square root of 963513 is about 981.5869803538. The cubic root of 963513 is about 98.7686670901.

The spelling of 963513 in words is "nine hundred sixty-three thousand, five hundred thirteen".