51813058752 has 672 divisors, whose sum is σ = 195835121664. Its totient is φ = 13212979200.

The previous prime is 51813058727. The next prime is 51813058753. The reversal of 51813058752 is 25785031815.

51813058752 is a `hidden beast` number, since 5 + 1 + 8 + 13 + 0 + 587 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-3 number, since 3×51813058752³ (a number of 33 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 51813058698 and 51813058707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51813058753) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 43871602 + ... + 43872782.

It is an arithmetic number, because the mean of its divisors is an integer number (291421312).

Almost surely, 2^51813058752 is an apocalyptic number.

51813058752 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51813058752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97917560832).

51813058752 is an abundant number, since it is smaller than the sum of its proper divisors (144022062912).

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

51813058752 is a wasteful number, since it uses less digits than its factorization.

51813058752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1259 (or 1237 counting only the distinct ones).

The product of its (nonzero) digits is 336000, while the sum is 45.

The spelling of 51813058752 in words is "fifty-one billion, eight hundred thirteen million, fifty-eight thousand, seven hundred fifty-two".