82513144629 has 12 divisors (see below), whose sum is σ = 119190248736. Its totient is φ = 55006642152.

The previous prime is 82513144627. The next prime is 82513144669. The reversal of 82513144629 is 92644131528.

82513144629 is a `hidden beast` number, since 8 + 2 + 5 + 1 + 3 + 14 + 4 + 629 = 666.

It is not a de Polignac number, because 82513144629 - 2¹ = 82513144627 is a prime.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82513144627) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 90994 + ... + 416300.

It is an arithmetic number, because the mean of its divisors is an integer number (9932520728).

Almost surely, 2^82513144629 is an apocalyptic number.

It is an amenable number.

82513144629 is a deficient number, since it is larger than the sum of its proper divisors (36677104107).

82513144629 is a wasteful number, since it uses less digits than its factorization.

82513144629 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353496 (or 353493 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The spelling of 82513144629 in words is "eighty-two billion, five hundred thirteen million, one hundred forty-four thousand, six hundred twenty-nine".