9975513 has 24 divisors (see below), whose sum is σ = 14362176. Its totient is φ = 6156000.

The previous prime is 9975461. The next prime is 9975529. The reversal of 9975513 is 3155799.

9975513 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 9975513 - 2¹² = 9971417 is a prime.

It is a super-2 number, since 2×9975513² = 199021719226338, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (9975593) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 65988 + ... + 66138.

It is an arithmetic number, because the mean of its divisors is an integer number (598424).

Almost surely, 2^9975513 is an apocalyptic number.

It is an amenable number.

9975513 is a deficient number, since it is larger than the sum of its proper divisors (4386663).

9975513 is a wasteful number, since it uses less digits than its factorization.

9975513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 234 counting only the distinct ones).

The product of its digits is 42525, while the sum is 39.

The square root of 9975513 is about 3158.4035524296. The cubic root of 9975513 is about 215.2674731304.

The spelling of 9975513 in words is "nine million, nine hundred seventy-five thousand, five hundred thirteen".