11525954881 has 21 divisors (see below), whose sum is σ = 13490029731. Its totient is φ = 9847826352.

The previous prime is 11525954837. The next prime is 11525954893. The reversal of 11525954881 is 18845952511.

The square root of 11525954881 is 107359.

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., 73530625 + 11452424256 = 8575^2 + 107016^2 .

It is not a de Polignac number, because 11525954881 - 2⁷ = 11525954753 is a prime.

It is a super-2 number, since 2×11525954881² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a Duffinian number.

Its product of digits (576000) is a multiple of the sum of its prime divisors (320).

It is not an unprimeable number, because it can be changed into a prime (11525954801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 36823981 + ... + 36824293.

Almost surely, 2^11525954881 is an apocalyptic number.

11525954881 is the 107359-th square number.

11525954881 is the 53680-th centered octagonal number.

It is an amenable number.

11525954881 is a deficient number, since it is larger than the sum of its proper divisors (1964074850).

11525954881 is an frugal number, since it uses more digits than its factorization.

11525954881 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 668 (or 320 counting only the distinct ones).

The product of its digits is 576000, while the sum is 49.

Multiplying 11525954881 by its sum of digits (49), we get a square (564771789169 = 751513²).

11525954881 divided by its sum of digits (49) gives a square (235223569 = 15337²).

The spelling of 11525954881 in words is "eleven billion, five hundred twenty-five million, nine hundred fifty-four thousand, eight hundred eighty-one".