7652552567 has 32 divisors (see below), whose sum is σ = 9161164800. Its totient is φ = 6310080000.

The previous prime is 7652552539. The next prime is 7652552569.

7652552567 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 7652552567 - 2¹⁴ = 7652536183 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7652552569) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4071734 + ... + 4073612.

It is an arithmetic number, because the mean of its divisors is an integer number (286286400).

Almost surely, 2^7652552567 is an apocalyptic number.

7652552567 is a deficient number, since it is larger than the sum of its proper divisors (1508612233).

7652552567 is a wasteful number, since it uses less digits than its factorization.

7652552567 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2687.

The product of its digits is 4410000, while the sum is 50.

The square root of 7652552567 is about 87478.8692599533. The cubic root of 7652552567 is about 1970.6164653209.

The spelling of 7652552567 in words is "seven billion, six hundred fifty-two million, five hundred fifty-two thousand, five hundred sixty-seven".