2506465681 has 2 divisors, whose sum is σ = 2506465682. Its totient is φ = 2506465680.

The previous prime is 2506465651. The next prime is 2506465699. The reversal of 2506465681 is 1865646052.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1620867600 + 885598081 = 40260^2 + 29759^2 .

It is a cyclic number.

It is not a de Polignac number, because 2506465681 - 2⁵ = 2506465649 is a prime.

It is a super-2 number, since 2×2506465681² = 12564740420061587522, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2506465651) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1253232840 + 1253232841.

It is an arithmetic number, because the mean of its divisors is an integer number (1253232841).

Almost surely, 2^2506465681 is an apocalyptic number.

It is an amenable number.

2506465681 is a deficient number, since it is larger than the sum of its proper divisors (1).

2506465681 is an equidigital number, since it uses as much as digits as its factorization.

2506465681 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 345600, while the sum is 43.

The square root of 2506465681 is about 50064.6150589416. The cubic root of 2506465681 is about 1358.3778382932.

The spelling of 2506465681 in words is "two billion, five hundred six million, four hundred sixty-five thousand, six hundred eighty-one".