25748758579001 has 2 divisors, whose sum is σ = 25748758579002. Its totient is φ = 25748758579000.

The previous prime is 25748758578973. The next prime is 25748758579129. The reversal of 25748758579001 is 10097585784752.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 16444282074025 + 9304476504976 = 4055155^2 + 3050324^2 .

It is a cyclic number.

It is not a de Polignac number, because 25748758579001 - 2³⁸ = 25473880672057 is a prime.

It is not a weakly prime, because it can be changed into another prime (25748758579301) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 12874379289500 + 12874379289501.

It is an arithmetic number, because the mean of its divisors is an integer number (12874379289501).

Almost surely, 2^{25748758579001} is an apocalyptic number.

It is an amenable number.

25748758579001 is a deficient number, since it is larger than the sum of its proper divisors (1).

25748758579001 is an equidigital number, since it uses as much as digits as its factorization.

25748758579001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 197568000, while the sum is 68.

The spelling of 25748758579001 in words is "twenty-five trillion, seven hundred forty-eight billion, seven hundred fifty-eight million, five hundred seventy-nine thousand, one".