5110253344144 has 80 divisors (see below), whose sum is σ = 10689018550000. Its totient is φ = 2352772251648.

The previous prime is 5110253344129. The next prime is 5110253344169. The reversal of 5110253344144 is 4414433520115.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 3363922810000 + 1746330534144 = 1834100^2 + 1321488^2 .

It is a super-2 number, since 2×5110253344144² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 159236452 + ... + 159268540.

It is an arithmetic number, because the mean of its divisors is an integer number (133612731875).

Almost surely, 2^{5110253344144} is an apocalyptic number.

It is an amenable number.

5110253344144 is an abundant number, since it is smaller than the sum of its proper divisors (5578765205856).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5110253344144 is a wasteful number, since it uses less digits than its factorization.

5110253344144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33972 (or 33966 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 37.

Adding to 5110253344144 its reverse (4414433520115), we get a palindrome (9524686864259).

The spelling of 5110253344144 in words is "five trillion, one hundred ten billion, two hundred fifty-three million, three hundred forty-four thousand, one hundred forty-four".