11037418152121 has 3 divisors (see below), whose sum is σ = 11037421474383. Its totient is φ = 11037414829860.

The previous prime is 11037418152113. The next prime is 11037418152149. The reversal of 11037418152121 is 12125181473011.

The square root of 11037418152121 is 3322261.

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

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in only one way, i.e., 6380367831721 + 4657050320400 = 2525939^2 + 2158020^2 .

It is not a de Polignac number, because 11037418152121 - 2³ = 11037418152113 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11037418152161) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 1661131 + ... + 4983391.

It is an arithmetic number, because the mean of its divisors is an integer number (3679140491461).

Almost surely, 2^{11037418152121} is an apocalyptic number.

11037418152121 is the 3322261-st square number.

11037418152121 is the 1661131-st centered octagonal number.

It is an amenable number.

11037418152121 is a deficient number, since it is larger than the sum of its proper divisors (3322262).

11037418152121 is an frugal number, since it uses more digits than its factorization.

11037418152121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6644522 (or 3322261 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 37.

The spelling of 11037418152121 in words is "eleven trillion, thirty-seven billion, four hundred eighteen million, one hundred fifty-two thousand, one hundred twenty-one".