82513465237980 has 144 divisors (see below), whose sum is σ = 286086711665664. Its totient is φ = 18857581142400.

The previous prime is 82513465237963. The next prime is 82513465238023. The reversal of 82513465237980 is 8973256431528.

82513465237980 is a `hidden beast` number, since 8 + 2 + 5 + 1 + 3 + 465 + 23 + 79 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4431399 + ... + 13589121.

It is an arithmetic number, because the mean of its divisors is an integer number (1986713275456).

It is a 1-persistent number, because it is pandigital, but 2⋅82513465237980 = 165026930475960 is not.

Almost surely, 2^{82513465237980} is an apocalyptic number.

It is an amenable number.

82513465237980 is an abundant number, since it is smaller than the sum of its proper divisors (203573246427684).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

82513465237980 is a wasteful number, since it uses less digits than its factorization.

82513465237980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9164896 (or 9164891 counting only the distinct ones).

The product of its (nonzero) digits is 87091200, while the sum is 63.

The spelling of 82513465237980 in words is "eighty-two trillion, five hundred thirteen billion, four hundred sixty-five million, two hundred thirty-seven thousand, nine hundred eighty".