11451331020225 has 48 divisors (see below), whose sum is σ = 19263409920000. Its totient is φ = 6000853619520.

The previous prime is 11451331020209. The next prime is 11451331020229. The reversal of 11451331020225 is 52202013315411.

It is a happy number.

It is not a de Polignac number, because 11451331020225 - 2⁴ = 11451331020209 is a prime.

It is a super-2 number, since 2×11451331020225² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11451331020192 and 11451331020201.

It is not an unprimeable number, because it can be changed into a prime (11451331020229) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 8198284 + ... + 9492866.

It is an arithmetic number, because the mean of its divisors is an integer number (401321040000).

Almost surely, 2^{11451331020225} is an apocalyptic number.

11451331020225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11451331020225 is a deficient number, since it is larger than the sum of its proper divisors (7812078899775).

11451331020225 is a wasteful number, since it uses less digits than its factorization.

11451331020225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1296654 (or 1296649 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

Adding to 11451331020225 its reverse (52202013315411), we get a palindrome (63653344335636).

The spelling of 11451331020225 in words is "eleven trillion, four hundred fifty-one billion, three hundred thirty-one million, twenty thousand, two hundred twenty-five".