829862740513 has 6 divisors (see below), whose sum is σ = 857496048162. Its totient is φ = 803092973760.

The previous prime is 829862740463. The next prime is 829862740519. The reversal of 829862740513 is 315047268928.

It can be written as a sum of positive squares in only one way, i.e., 799972825744 + 29889914769 = 894412^2 + 172887^2 .

It is not a de Polignac number, because 829862740513 - 2⁹ = 829862740001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (829862740519) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 431769456 + ... + 431771377.

It is an arithmetic number, because the mean of its divisors is an integer number (142916008027).

It is a 1-persistent number, because it is pandigital, but 2⋅829862740513 = 1659725481026 is not.

Almost surely, 2^829862740513 is an apocalyptic number.

It is an amenable number.

829862740513 is a deficient number, since it is larger than the sum of its proper divisors (27633307649).

829862740513 is an equidigital number, since it uses as much as digits as its factorization.

829862740513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 863540895 (or 863540864 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 55.

The spelling of 829862740513 in words is "eight hundred twenty-nine billion, eight hundred sixty-two million, seven hundred forty thousand, five hundred thirteen".