20825648438527 has 2 divisors, whose sum is σ = 20825648438528. Its totient is φ = 20825648438526.

The previous prime is 20825648438407. The next prime is 20825648438591. The reversal of 20825648438527 is 72583484652802.

It is an a-pointer prime, because the next prime (20825648438591) can be obtained adding 20825648438527 to its sum of digits (64).

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-20825648438527 is a prime.

It is a super-3 number, since 3×20825648438527³ (a number of 41 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (20825648438597) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10412824219263 + 10412824219264.

It is an arithmetic number, because the mean of its divisors is an integer number (10412824219264).

Almost surely, 2^{20825648438527} is an apocalyptic number.

20825648438527 is a deficient number, since it is larger than the sum of its proper divisors (1).

20825648438527 is an equidigital number, since it uses as much as digits as its factorization.

20825648438527 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 206438400, while the sum is 64.

The spelling of 20825648438527 in words is "twenty trillion, eight hundred twenty-five billion, six hundred forty-eight million, four hundred thirty-eight thousand, five hundred twenty-seven".