11251162253331 has 72 divisors (see below), whose sum is σ = 21985742411360. Its totient is φ = 5395162671360.

The previous prime is 11251162253327. The next prime is 11251162253347. The reversal of 11251162253331 is 13335226115211.

It is a happy number.

11251162253331 is a `hidden beast` number, since 1 + 1 + 2 + 5 + 11 + 62 + 253 + 331 = 666.

It is not a de Polignac number, because 11251162253331 - 2² = 11251162253327 is a prime.

It is a super-2 number, since 2×11251162253331² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11251162253131) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 56668186 + ... + 56866383.

Almost surely, 2^{11251162253331} is an apocalyptic number.

11251162253331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11251162253331 is a deficient number, since it is larger than the sum of its proper divisors (10734580158029).

11251162253331 is a wasteful number, since it uses less digits than its factorization.

11251162253331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113534617 (or 113534603 counting only the distinct ones).

The product of its digits is 32400, while the sum is 36.

Adding to 11251162253331 its reverse (13335226115211), we get a palindrome (24586388368542).

The spelling of 11251162253331 in words is "eleven trillion, two hundred fifty-one billion, one hundred sixty-two million, two hundred fifty-three thousand, three hundred thirty-one".