51252853248 has 320 divisors, whose sum is σ = 161689651200. Its totient is φ = 15983308800.

The previous prime is 51252853241. The next prime is 51252853273. The reversal of 51252853248 is 84235825215.

51252853248 is a `hidden beast` number, since 5 + 125 + 285 + 3 + 248 = 666.

51252853248 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 2×51252853248² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (51252853241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21799273 + ... + 21801623.

It is an arithmetic number, because the mean of its divisors is an integer number (505280160).

Almost surely, 2^51252853248 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 51252853248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80844825600).

51252853248 is an abundant number, since it is smaller than the sum of its proper divisors (110436797952).

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

51252853248 is a wasteful number, since it uses less digits than its factorization.

51252853248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2480 (or 2458 counting only the distinct ones).

The product of its digits is 768000, while the sum is 45.

The spelling of 51252853248 in words is "fifty-one billion, two hundred fifty-two million, eight hundred fifty-three thousand, two hundred forty-eight".