10829532163921 has 2 divisors, whose sum is σ = 10829532163922. Its totient is φ = 10829532163920.

The previous prime is 10829532163781. The next prime is 10829532163993. The reversal of 10829532163921 is 12936123592801.

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., 9801814716225 + 1027717447696 = 3130785^2 + 1013764^2 .

It is a cyclic number.

It is not a de Polignac number, because 10829532163921 - 2²¹ = 10829530066769 is a prime.

It is not a weakly prime, because it can be changed into another prime (10829532163721) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5414766081960 + 5414766081961.

It is an arithmetic number, because the mean of its divisors is an integer number (5414766081961).

Almost surely, 2^{10829532163921} is an apocalyptic number.

It is an amenable number.

10829532163921 is a deficient number, since it is larger than the sum of its proper divisors (1).

10829532163921 is an equidigital number, since it uses as much as digits as its factorization.

10829532163921 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1399680, while the sum is 52.

The spelling of 10829532163921 in words is "ten trillion, eight hundred twenty-nine billion, five hundred thirty-two million, one hundred sixty-three thousand, nine hundred twenty-one".