2582133067 has 2 divisors, whose sum is σ = 2582133068. Its totient is φ = 2582133066.

The previous prime is 2582133061. The next prime is 2582133143. The reversal of 2582133067 is 7603312852.

2582133067 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 2582133067 - 2⁷ = 2582132939 is a prime.

It is a super-2 number, since 2×2582133067² = 13334822351389652978, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2582133061) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1291066533 + 1291066534.

It is an arithmetic number, because the mean of its divisors is an integer number (1291066534).

Almost surely, 2^2582133067 is an apocalyptic number.

2582133067 is a deficient number, since it is larger than the sum of its proper divisors (1).

2582133067 is an equidigital number, since it uses as much as digits as its factorization.

2582133067 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 60480, while the sum is 37.

The square root of 2582133067 is about 50814.6934163732. The cubic root of 2582133067 is about 1371.9118470719.

The spelling of 2582133067 in words is "two billion, five hundred eighty-two million, one hundred thirty-three thousand, sixty-seven".