513423412331021 has 2 divisors, whose sum is σ = 513423412331022. Its totient is φ = 513423412331020.

The previous prime is 513423412330991. The next prime is 513423412331059. The reversal of 513423412331021 is 120133214324315.

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., 378602634105796 + 134820778225225 = 19457714^2 + 11611235^2 .

It is a cyclic number.

It is not a de Polignac number, because 513423412331021 - 2²⁶ = 513423345222157 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (513423412337021) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 256711706165510 + 256711706165511.

It is an arithmetic number, because the mean of its divisors is an integer number (256711706165511).

Almost surely, 2^{513423412331021} is an apocalyptic number.

It is an amenable number.

513423412331021 is a deficient number, since it is larger than the sum of its proper divisors (1).

513423412331021 is an equidigital number, since it uses as much as digits as its factorization.

513423412331021 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 51840, while the sum is 35.

Adding to 513423412331021 its reverse (120133214324315), we get a palindrome (633556626655336).

The spelling of 513423412331021 in words is "five hundred thirteen trillion, four hundred twenty-three billion, four hundred twelve million, three hundred thirty-one thousand, twenty-one".