25025055006001 has 2 divisors, whose sum is σ = 25025055006002. Its totient is φ = 25025055006000.

The previous prime is 25025055005981. The next prime is 25025055006013. The reversal of 25025055006001 is 10060055052052.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12614935166001 + 12410119840000 = 3551751^2 + 3522800^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-25025055006001 is a prime.

It is not a weakly prime, because it can be changed into another prime (25025055006031) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 12512527503000 + 12512527503001.

It is an arithmetic number, because the mean of its divisors is an integer number (12512527503001).

Almost surely, 2^{25025055006001} is an apocalyptic number.

It is an amenable number.

25025055006001 is a deficient number, since it is larger than the sum of its proper divisors (1).

25025055006001 is an equidigital number, since it uses as much as digits as its factorization.

25025055006001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 15000, while the sum is 31.

The spelling of 25025055006001 in words is "twenty-five trillion, twenty-five billion, fifty-five million, six thousand, one".