10500463 has 2 divisors, whose sum is σ = 10500464. Its totient is φ = 10500462.

The previous prime is 10500461. The next prime is 10500473. The reversal of 10500463 is 36400501.

10500463 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 a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 10500463 - 2¹ = 10500461 is a prime.

It is a super-3 number, since 3×10500463³ (a number of 22 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

Together with 10500461, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 10500463.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10500461) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5250231 + 5250232.

It is an arithmetic number, because the mean of its divisors is an integer number (5250232).

Almost surely, 2^10500463 is an apocalyptic number.

10500463 is a deficient number, since it is larger than the sum of its proper divisors (1).

10500463 is an equidigital number, since it uses as much as digits as its factorization.

10500463 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 10500463 is about 3240.4417908674. The cubic root of 10500463 is about 218.9791755461.

Adding to 10500463 its reverse (36400501), we get a palindrome (46900964).

The spelling of 10500463 in words is "ten million, five hundred thousand, four hundred sixty-three".