11525261655601 has 2 divisors, whose sum is σ = 11525261655602. Its totient is φ = 11525261655600.

The previous prime is 11525261655599. The next prime is 11525261655659. The reversal of 11525261655601 is 10655616252511.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9773876742400 + 1751384913201 = 3126320^2 + 1323399^2 .

It is an emirp because it is prime and its reverse (10655616252511) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 11525261655601 - 2¹ = 11525261655599 is a prime.

Together with 11525261655599, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (11525261650601) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5762630827800 + 5762630827801.

It is an arithmetic number, because the mean of its divisors is an integer number (5762630827801).

Almost surely, 2^{11525261655601} is an apocalyptic number.

It is an amenable number.

11525261655601 is a deficient number, since it is larger than the sum of its proper divisors (1).

11525261655601 is an equidigital number, since it uses as much as digits as its factorization.

11525261655601 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 540000, while the sum is 46.

It can be divided in two parts, 11525 and 261655601, that added together give a triangular number (261667126 = T₂₂₈₇₆).

The spelling of 11525261655601 in words is "eleven trillion, five hundred twenty-five billion, two hundred sixty-one million, six hundred fifty-five thousand, six hundred one".