82351813403805 has 48 divisors (see below), whose sum is σ = 144833377207680. Its totient is φ = 39927302673280.

The previous prime is 82351813403803. The next prime is 82351813403833. The reversal of 82351813403805 is 50830431815328.

It is a happy number.

It is not a de Polignac number, because 82351813403805 - 2¹ = 82351813403803 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82351813403803) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 89491819 + ... + 90407351.

It is an arithmetic number, because the mean of its divisors is an integer number (3017362025160).

Almost surely, 2^{82351813403805} is an apocalyptic number.

It is an amenable number.

82351813403805 is a deficient number, since it is larger than the sum of its proper divisors (62481563803875).

82351813403805 is a wasteful number, since it uses less digits than its factorization.

82351813403805 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 965122 (or 965111 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 51.

The spelling of 82351813403805 in words is "eighty-two trillion, three hundred fifty-one billion, eight hundred thirteen million, four hundred three thousand, eight hundred five".