2505010681 has 2 divisors, whose sum is σ = 2505010682. Its totient is φ = 2505010680.

The previous prime is 2505010663. The next prime is 2505010699. The reversal of 2505010681 is 1860105052.

It is a balanced prime because it is at equal distance from previous prime (2505010663) and next prime (2505010699).

It can be written as a sum of positive squares in only one way, i.e., 2449359081 + 55651600 = 49491^2 + 7460^2 .

It is a cyclic number.

It is not a de Polignac number, because 2505010681 - 2¹⁵ = 2504977913 is a prime.

It is a super-2 number, since 2×2505010681² = 12550157023848167522, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2505010621) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1252505340 + 1252505341.

It is an arithmetic number, because the mean of its divisors is an integer number (1252505341).

Almost surely, 2^2505010681 is an apocalyptic number.

It is an amenable number.

2505010681 is a deficient number, since it is larger than the sum of its proper divisors (1).

2505010681 is an equidigital number, since it uses as much as digits as its factorization.

2505010681 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2400, while the sum is 28.

The square root of 2505010681 is about 50050.0817282050. The cubic root of 2505010681 is about 1358.1149419058.

The spelling of 2505010681 in words is "two billion, five hundred five million, ten thousand, six hundred eighty-one".