25130536516601 has 2 divisors, whose sum is σ = 25130536516602. Its totient is φ = 25130536516600.

The previous prime is 25130536516543. The next prime is 25130536516637. The reversal of 25130536516601 is 10661563503152.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 17807429413225 + 7323107103376 = 4219885^2 + 2706124^2 .

It is a cyclic number.

It is not a de Polignac number, because 25130536516601 - 2⁶ = 25130536516537 is a prime.

It is a super-2 number, since 2×25130536516601² (a number of 28 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (25130536516661) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 12565268258300 + 12565268258301.

It is an arithmetic number, because the mean of its divisors is an integer number (12565268258301).

Almost surely, 2^{25130536516601} is an apocalyptic number.

It is an amenable number.

25130536516601 is a deficient number, since it is larger than the sum of its proper divisors (1).

25130536516601 is an equidigital number, since it uses as much as digits as its factorization.

25130536516601 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 486000, while the sum is 44.

The spelling of 25130536516601 in words is "twenty-five trillion, one hundred thirty billion, five hundred thirty-six million, five hundred sixteen thousand, six hundred one".