82730716762521 has 48 divisors (see below), whose sum is σ = 125399265177600. Its totient is φ = 48366964689120.

The previous prime is 82730716762511. The next prime is 82730716762549. The reversal of 82730716762521 is 12526761703728.

It is a happy number.

It is not a de Polignac number, because 82730716762521 - 2⁵ = 82730716762489 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is not an unprimeable number, because it can be changed into a prime (82730716762511) 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, 52797471 + ... + 54341828.

It is an arithmetic number, because the mean of its divisors is an integer number (2612484691200).

Almost surely, 2^{82730716762521} is an apocalyptic number.

It is an amenable number.

82730716762521 is a deficient number, since it is larger than the sum of its proper divisors (42668548415079).

82730716762521 is a wasteful number, since it uses less digits than its factorization.

82730716762521 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107139394 (or 107139375 counting only the distinct ones).

The product of its (nonzero) digits is 11854080, while the sum is 57.

The spelling of 82730716762521 in words is "eighty-two trillion, seven hundred thirty billion, seven hundred sixteen million, seven hundred sixty-two thousand, five hundred twenty-one".