10821577457 has 2 divisors, whose sum is σ = 10821577458. Its totient is φ = 10821577456.

The previous prime is 10821577421. The next prime is 10821577489. The reversal of 10821577457 is 75477512801.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7645578721 + 3175998736 = 87439^2 + 56356^2 .

It is a cyclic number.

It is not a de Polignac number, because 10821577457 - 2⁸ = 10821577201 is a prime.

It is not a weakly prime, because it can be changed into another prime (10821577957) 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, 5410788728 + 5410788729.

It is an arithmetic number, because the mean of its divisors is an integer number (5410788729).

Almost surely, 2^10821577457 is an apocalyptic number.

It is an amenable number.

10821577457 is a deficient number, since it is larger than the sum of its proper divisors (1).

10821577457 is an equidigital number, since it uses as much as digits as its factorization.

10821577457 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 548800, while the sum is 47.

The spelling of 10821577457 in words is "ten billion, eight hundred twenty-one million, five hundred seventy-seven thousand, four hundred fifty-seven".