11513075401 has 9 divisors (see below), whose sum is σ = 11711566503. Its totient is φ = 11317898520.

The previous prime is 11513075369. The next prime is 11513075407. The reversal of 11513075401 is 10457031511.

The square root of 11513075401 is 107299.

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

It can be written as a sum of positive squares in only one way, i.e., 374383801 + 11138691600 = 19349^2 + 105540^2 .

It is not a de Polignac number, because 11513075401 - 2⁵ = 11513075369 is a prime.

It is a super-2 number, since 2×11513075401² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 11513075401.

It is not an unprimeable number, because it can be changed into a prime (11513075407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 6544360 + ... + 6546118.

It is an arithmetic number, because the mean of its divisors is an integer number (1301285167).

Almost surely, 2^11513075401 is an apocalyptic number.

11513075401 is the 107299-th square number.

11513075401 is the 53650-th centered octagonal number.

It is an amenable number.

11513075401 is a deficient number, since it is larger than the sum of its proper divisors (198491102).

11513075401 is an frugal number, since it uses more digits than its factorization.

11513075401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3640 (or 1820 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 28.

The spelling of 11513075401 in words is "eleven billion, five hundred thirteen million, seventy-five thousand, four hundred one".