25510000201681 has 2 divisors, whose sum is σ = 25510000201682. Its totient is φ = 25510000201680.

The previous prime is 25510000201589. The next prime is 25510000201687. The reversal of 25510000201681 is 18610200001552.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 13792496130625 + 11717504071056 = 3713825^2 + 3423084^2 .

It is a cyclic number.

It is not a de Polignac number, because 25510000201681 - 2⁴¹ = 23310976946129 is a prime.

It is a super-2 number, since 2×25510000201681² (a number of 28 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (25510000201687) 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, 12755000100840 + 12755000100841.

It is an arithmetic number, because the mean of its divisors is an integer number (12755000100841).

Almost surely, 2^{25510000201681} is an apocalyptic number.

It is an amenable number.

25510000201681 is a deficient number, since it is larger than the sum of its proper divisors (1).

25510000201681 is an equidigital number, since it uses as much as digits as its factorization.

25510000201681 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4800, while the sum is 31.

The spelling of 25510000201681 in words is "twenty-five trillion, five hundred ten billion, two hundred one thousand, six hundred eighty-one".