2509682627 has 2 divisors, whose sum is σ = 2509682628. Its totient is φ = 2509682626.

The previous prime is 2509682603. The next prime is 2509682629. The reversal of 2509682627 is 7262869052.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 2509682627 - 2¹⁶ = 2509617091 is a prime.

It is a super-2 number, since 2×2509682627² = 12597013776531242258, which contains 22 as substring.

Together with 2509682629, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (2509682629) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1254841313 + 1254841314.

It is an arithmetic number, because the mean of its divisors is an integer number (1254841314).

Almost surely, 2^2509682627 is an apocalyptic number.

2509682627 is a deficient number, since it is larger than the sum of its proper divisors (1).

2509682627 is an equidigital number, since it uses as much as digits as its factorization.

2509682627 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 725760, while the sum is 47.

The square root of 2509682627 is about 50096.7326978517. The cubic root of 2509682627 is about 1358.9587306124.

The spelling of 2509682627 in words is "two billion, five hundred nine million, six hundred eighty-two thousand, six hundred twenty-seven".