82752507 has 12 divisors (see below), whose sum is σ = 119674464. Its totient is φ = 55102320.

The previous prime is 82752497. The next prime is 82752517. The reversal of 82752507 is 70525728.

82752507 is a `hidden beast` number, since 82 + 75 + 2 + 507 = 666.

It is an interprime number because it is at equal distance from previous prime (82752497) and next prime (82752517).

It is not a de Polignac number, because 82752507 - 2⁶ = 82752443 is a prime.

It is not an unprimeable number, because it can be changed into a prime (82752517) 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, 3153 + ... + 13245.

It is an arithmetic number, because the mean of its divisors is an integer number (9972872).

Almost surely, 2^82752507 is an apocalyptic number.

82752507 is a deficient number, since it is larger than the sum of its proper divisors (36921957).

82752507 is a wasteful number, since it uses less digits than its factorization.

82752507 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11010 (or 11007 counting only the distinct ones).

The product of its (nonzero) digits is 39200, while the sum is 36.

The square root of 82752507 is about 9096.8404954687. The cubic root of 82752507 is about 435.7730684363.

The spelling of 82752507 in words is "eighty-two million, seven hundred fifty-two thousand, five hundred seven".