25121827001 has 2 divisors, whose sum is σ = 25121827002. Its totient is φ = 25121827000.

The previous prime is 25121826973. The next prime is 25121827043. The reversal of 25121827001 is 10072812152.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 20592537001 + 4529290000 = 143501^2 + 67300^2 .

It is a cyclic number.

It is not a de Polignac number, because 25121827001 - 2⁶ = 25121826937 is a prime.

It is a super-2 number, since 2×25121827001² (a number of 22 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (25121827301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 12560913500 + 12560913501.

It is an arithmetic number, because the mean of its divisors is an integer number (12560913501).

Almost surely, 2^25121827001 is an apocalyptic number.

It is an amenable number.

25121827001 is a deficient number, since it is larger than the sum of its proper divisors (1).

25121827001 is an equidigital number, since it uses as much as digits as its factorization.

25121827001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2240, while the sum is 29.

The spelling of 25121827001 in words is "twenty-five billion, one hundred twenty-one million, eight hundred twenty-seven thousand, one".