10284524821 has 2 divisors, whose sum is σ = 10284524822. Its totient is φ = 10284524820.

The previous prime is 10284524777. The next prime is 10284524837. The reversal of 10284524821 is 12842548201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8453883025 + 1830641796 = 91945^2 + 42786^2 .

It is a cyclic number.

It is not a de Polignac number, because 10284524821 - 2²¹ = 10282427669 is a prime.

It is a super-3 number, since 3×10284524821³ (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10284524521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5142262410 + 5142262411.

It is an arithmetic number, because the mean of its divisors is an integer number (5142262411).

Almost surely, 2^10284524821 is an apocalyptic number.

It is an amenable number.

10284524821 is a deficient number, since it is larger than the sum of its proper divisors (1).

10284524821 is an equidigital number, since it uses as much as digits as its factorization.

10284524821 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 40960, while the sum is 37.

The spelling of 10284524821 in words is "ten billion, two hundred eighty-four million, five hundred twenty-four thousand, eight hundred twenty-one".