2506842581 has 2 divisors, whose sum is σ = 2506842582. Its totient is φ = 2506842580.

The previous prime is 2506842571. The next prime is 2506842607. The reversal of 2506842581 is 1852486052.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2124288100 + 382554481 = 46090^2 + 19559^2 .

It is a cyclic number.

It is not a de Polignac number, because 2506842581 - 2¹⁴ = 2506826197 is a prime.

It is a super-2 number, since 2×2506842581² = 12568519451829483122, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2506842571) 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 as a sum of consecutive naturals, namely, 1253421290 + 1253421291.

It is an arithmetic number, because the mean of its divisors is an integer number (1253421291).

Almost surely, 2^2506842581 is an apocalyptic number.

It is an amenable number.

2506842581 is a deficient number, since it is larger than the sum of its proper divisors (1).

2506842581 is an equidigital number, since it uses as much as digits as its factorization.

2506842581 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 153600, while the sum is 41.

The square root of 2506842581 is about 50068.3790530510. The cubic root of 2506842581 is about 1358.4459218037.

The spelling of 2506842581 in words is "two billion, five hundred six million, eight hundred forty-two thousand, five hundred eighty-one".