82123750535 has 32 divisors (see below), whose sum is σ = 105305702400. Its totient is φ = 61266627072.

The previous prime is 82123750453. The next prime is 82123750537. The reversal of 82123750535 is 53505732128.

It is a cyclic number.

It is not a de Polignac number, because 82123750535 - 2²⁸ = 81855315079 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 82123750492 and 82123750501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82123750537) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8922866 + ... + 8932064.

It is an arithmetic number, because the mean of its divisors is an integer number (3290803200).

Almost surely, 2^82123750535 is an apocalyptic number.

82123750535 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

82123750535 is a deficient number, since it is larger than the sum of its proper divisors (23181951865).

82123750535 is a wasteful number, since it uses less digits than its factorization.

82123750535 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10175.

The product of its (nonzero) digits is 252000, while the sum is 41.

The spelling of 82123750535 in words is "eighty-two billion, one hundred twenty-three million, seven hundred fifty thousand, five hundred thirty-five".