521405464504097 has 2 divisors, whose sum is σ = 521405464504098. Its totient is φ = 521405464504096.

The previous prime is 521405464504081. The next prime is 521405464504129. The reversal of 521405464504097 is 790405464504125.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 461218962568081 + 60186501936016 = 21476009^2 + 7757996^2 .

It is a cyclic number.

It is not a de Polignac number, because 521405464504097 - 2⁴ = 521405464504081 is a prime.

It is a super-2 number, since 2×521405464504097² (a number of 30 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (521405464500097) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 260702732252048 + 260702732252049.

It is an arithmetic number, because the mean of its divisors is an integer number (260702732252049).

Almost surely, 2^{521405464504097} is an apocalyptic number.

It is an amenable number.

521405464504097 is a deficient number, since it is larger than the sum of its proper divisors (1).

521405464504097 is an equidigital number, since it uses as much as digits as its factorization.

521405464504097 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24192000, while the sum is 56.

The spelling of 521405464504097 in words is "five hundred twenty-one trillion, four hundred five billion, four hundred sixty-four million, five hundred four thousand, ninety-seven".