2506005881 has 2 divisors, whose sum is σ = 2506005882. Its totient is φ = 2506005880.

The previous prime is 2506005833. The next prime is 2506005889. The reversal of 2506005881 is 1885006052.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2505903481 + 102400 = 50059^2 + 320^2 .

It is a cyclic number.

It is not a de Polignac number, because 2506005881 - 2²² = 2501811577 is a prime.

It is a super-2 number, since 2×2506005881² = 12560130951213172322, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2506005889) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1253002940 + 1253002941.

It is an arithmetic number, because the mean of its divisors is an integer number (1253002941).

Almost surely, 2^2506005881 is an apocalyptic number.

It is an amenable number.

2506005881 is a deficient number, since it is larger than the sum of its proper divisors (1).

2506005881 is an equidigital number, since it uses as much as digits as its factorization.

2506005881 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 19200, while the sum is 35.

The square root of 2506005881 is about 50060.0227826556. The cubic root of 2506005881 is about 1358.2947704192.

The spelling of 2506005881 in words is "two billion, five hundred six million, five thousand, eight hundred eighty-one".