25122161521001 has 2 divisors, whose sum is σ = 25122161521002. Its totient is φ = 25122161521000.

The previous prime is 25122161520979. The next prime is 25122161521027. The reversal of 25122161521001 is 10012516122152.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 13643271942400 + 11478889578601 = 3693680^2 + 3388051^2 .

It is a cyclic number.

It is not a de Polignac number, because 25122161521001 - 2¹⁴ = 25122161504617 is a prime.

It is a super-2 number, since 2×25122161521001² (a number of 28 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (25122161521201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 12561080760500 + 12561080760501.

It is an arithmetic number, because the mean of its divisors is an integer number (12561080760501).

Almost surely, 2^{25122161521001} is an apocalyptic number.

It is an amenable number.

25122161521001 is a deficient number, since it is larger than the sum of its proper divisors (1).

25122161521001 is an equidigital number, since it uses as much as digits as its factorization.

25122161521001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2400, while the sum is 29.

Adding to 25122161521001 its reverse (10012516122152), we get a palindrome (35134677643153).

The spelling of 25122161521001 in words is "twenty-five trillion, one hundred twenty-two billion, one hundred sixty-one million, five hundred twenty-one thousand, one".