11525261365503 has 96 divisors (see below), whose sum is σ = 17755076102400. Its totient is φ = 7190374883328.

The previous prime is 11525261365459. The next prime is 11525261365511. The reversal of 11525261365503 is 30556316252511.

11525261365503 is a `hidden beast` number, since 1 + 1 + 5 + 2 + 5 + 2 + 6 + 136 + 5 + 503 = 666.

It is not a de Polignac number, because 11525261365503 - 2²⁴ = 11525244588287 is a prime.

It is a super-3 number, since 3×11525261365503³ (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11525261365003) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3382816426 + ... + 3382819832.

It is an arithmetic number, because the mean of its divisors is an integer number (184948709400).

Almost surely, 2^{11525261365503} is an apocalyptic number.

11525261365503 is a deficient number, since it is larger than the sum of its proper divisors (6229814736897).

11525261365503 is a wasteful number, since it uses less digits than its factorization.

11525261365503 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4721 (or 4718 counting only the distinct ones).

The product of its (nonzero) digits is 810000, while the sum is 45.

The spelling of 11525261365503 in words is "eleven trillion, five hundred twenty-five billion, two hundred sixty-one million, three hundred sixty-five thousand, five hundred three".