51252829056 has 896 divisors, whose sum is σ = 188794851840. Its totient is φ = 13631016960.

The previous prime is 51252829031. The next prime is 51252829087. The reversal of 51252829056 is 65092825215.

51252829056 is a `hidden beast` number, since 51 + 2 + 528 + 29 + 0 + 56 = 666.

51252829056 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×51252829056² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 306903085 + ... + 306903251.

It is an arithmetic number, because the mean of its divisors is an integer number (210708540).

Almost surely, 2^51252829056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51252829056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94397425920).

51252829056 is an abundant number, since it is smaller than the sum of its proper divisors (137542022784).

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

51252829056 is a wasteful number, since it uses less digits than its factorization.

51252829056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 45.

The spelling of 51252829056 in words is "fifty-one billion, two hundred fifty-two million, eight hundred twenty-nine thousand, fifty-six".