7582084537 has 2 divisors, whose sum is σ = 7582084538. Its totient is φ = 7582084536.

The previous prime is 7582084493. The next prime is 7582084553. The reversal of 7582084537 is 7354802857.

7582084537 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7133322681 + 448761856 = 84459^2 + 21184^2 .

It is a cyclic number.

It is not a de Polignac number, because 7582084537 - 2²⁷ = 7447866809 is a prime.

It is not a weakly prime, because it can be changed into another prime (7582004537) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3791042268 + 3791042269.

It is an arithmetic number, because the mean of its divisors is an integer number (3791042269).

Almost surely, 2^7582084537 is an apocalyptic number.

It is an amenable number.

7582084537 is a deficient number, since it is larger than the sum of its proper divisors (1).

7582084537 is an equidigital number, since it uses as much as digits as its factorization.

7582084537 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1881600, while the sum is 49.

The square root of 7582084537 is about 87075.1660176425. The cubic root of 7582084537 is about 1964.5490389060.

The spelling of 7582084537 in words is "seven billion, five hundred eighty-two million, eighty-four thousand, five hundred thirty-seven".