51281585127552 has 64 divisors (see below), whose sum is σ = 146694919008960. Its totient is φ = 15778949268480.

The previous prime is 51281585127551. The next prime is 51281585127601. The reversal of 51281585127552 is 25572158518215.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×51281585127552² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 51281585127492 and 51281585127501.

It is not an unprimeable number, because it can be changed into a prime (51281585127551) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5136371724 + ... + 5136381707.

It is an arithmetic number, because the mean of its divisors is an integer number (2292108109515).

Almost surely, 2^{51281585127552} is an apocalyptic number.

51281585127552 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

51281585127552 is an abundant number, since it is smaller than the sum of its proper divisors (95413333881408).

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

51281585127552 is a wasteful number, since it uses less digits than its factorization.

51281585127552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10272753461 (or 10272753449 counting only the distinct ones).

The product of its digits is 11200000, while the sum is 57.

The spelling of 51281585127552 in words is "fifty-one trillion, two hundred eighty-one billion, five hundred eighty-five million, one hundred twenty-seven thousand, five hundred fifty-two".