9780513 has 8 divisors (see below), whose sum is σ = 13056000. Its totient is φ = 6512688.

The previous prime is 9780499. The next prime is 9780517. The reversal of 9780513 is 3150879.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 9780513 - 2¹⁴ = 9764129 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (9780517) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2563 + ... + 5111.

It is an arithmetic number, because the mean of its divisors is an integer number (1632000).

Almost surely, 2^9780513 is an apocalyptic number.

It is an amenable number.

9780513 is a deficient number, since it is larger than the sum of its proper divisors (3275487).

9780513 is a wasteful number, since it uses less digits than its factorization.

9780513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3831.

The product of its (nonzero) digits is 7560, while the sum is 33.

The square root of 9780513 is about 3127.3811728026. The cubic root of 9780513 is about 213.8555595025.

The spelling of 9780513 in words is "nine million, seven hundred eighty thousand, five hundred thirteen".