10500461 has 2 divisors, whose sum is σ = 10500462. Its totient is φ = 10500460.

The previous prime is 10500449. The next prime is 10500463. The reversal of 10500461 is 16400501.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7590025 + 2910436 = 2755^2 + 1706^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10500461 is a prime.

It is a super-3 number, since 3×10500461³ (a number of 22 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

Together with 10500463, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10500463) 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 as a sum of consecutive naturals, namely, 5250230 + 5250231.

It is an arithmetic number, because the mean of its divisors is an integer number (5250231).

Almost surely, 2^10500461 is an apocalyptic number.

It is an amenable number.

10500461 is a deficient number, since it is larger than the sum of its proper divisors (1).

10500461 is an equidigital number, since it uses as much as digits as its factorization.

10500461 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 10500461 is about 3240.4414822675. The cubic root of 10500461 is about 218.9791616432.

Adding to 10500461 its reverse (16400501), we get a palindrome (26900962).

The spelling of 10500461 in words is "ten million, five hundred thousand, four hundred sixty-one".