11503635025 has 27 divisors (see below), whose sum is σ = 15068131281. Its totient is φ = 8710822080.

The previous prime is 11503635019. The next prime is 11503635037. The reversal of 11503635025 is 52053630511.

The square root of 11503635025 is 107255.

It is a perfect power (a square), and thus also a powerful number.

11503635025 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 4010308929 + 7493326096 = 63327^2 + 86564^2 .

It is not a de Polignac number, because 11503635025 - 2¹¹ = 11503632977 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 10188661 + ... + 10189789.

Almost surely, 2^11503635025 is an apocalyptic number.

11503635025 is the 107255-th square number.

11503635025 is the 53628-th centered octagonal number.

It is an amenable number.

11503635025 is a deficient number, since it is larger than the sum of its proper divisors (3564496256).

11503635025 is an frugal number, since it uses more digits than its factorization.

11503635025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2306 (or 1153 counting only the distinct ones).

The product of its (nonzero) digits is 13500, while the sum is 31.

The spelling of 11503635025 in words is "eleven billion, five hundred three million, six hundred thirty-five thousand, twenty-five".