51117261024 has 96 divisors (see below), whose sum is σ = 141889950720. Its totient is φ = 16087219200.

The previous prime is 51117260963. The next prime is 51117261061. The reversal of 51117261024 is 42016271115.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×51117261024² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 51117260982 and 51117261000.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 87454 + ... + 331485.

It is an arithmetic number, because the mean of its divisors is an integer number (1478020320).

Almost surely, 2^51117261024 is an apocalyptic number.

It is an amenable number.

51117261024 is an abundant number, since it is smaller than the sum of its proper divisors (90772689696).

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

51117261024 is a wasteful number, since it uses less digits than its factorization.

51117261024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419024 (or 419016 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 30.

The spelling of 51117261024 in words is "fifty-one billion, one hundred seventeen million, two hundred sixty-one thousand, twenty-four".