10638513 has 8 divisors (see below), whose sum is σ = 15760800. Its totient is φ = 7092324.

The previous prime is 10638491. The next prime is 10638517. The reversal of 10638513 is 31583601.

10638513 is a `hidden beast` number, since 10 + 638 + 5 + 13 = 666.

It is not a de Polignac number, because 10638513 - 2¹² = 10634417 is a prime.

It is a super-2 number, since 2×10638513² = 226355917702338, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 394019 = 10638513 / (1 + 0 + 6 + 3 + 8 + 5 + 1 + 3).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10638517) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 196983 + ... + 197036.

It is an arithmetic number, because the mean of its divisors is an integer number (1970100).

Almost surely, 2^10638513 is an apocalyptic number.

It is an amenable number.

10638513 is a deficient number, since it is larger than the sum of its proper divisors (5122287).

10638513 is an equidigital number, since it uses as much as digits as its factorization.

10638513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394028 (or 394022 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 10638513 is about 3261.6733435462. The cubic root of 10638513 is about 219.9346431204.

The spelling of 10638513 in words is "ten million, six hundred thirty-eight thousand, five hundred thirteen".