51242833281024 has 2112 divisors, whose sum is σ = 203806887022080. Its totient is φ = 12556739543040.

The previous prime is 51242833280953. The next prime is 51242833281041. The reversal of 51242833281024 is 42018233824215.

51242833281024 is a `hidden beast` number, since 5 + 1 + 24 + 283 + 328 + 1 + 0 + 24 = 666.

It is a tau number, because it is divible by the number of its divisors (2112).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 701956620252 + ... + 701956620324.

Almost surely, 2^{51242833281024} is an apocalyptic number.

51242833281024 is a gapful number since it is divisible by the number (54) 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 51242833281024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101903443511040).

51242833281024 is an abundant number, since it is smaller than the sum of its proper divisors (152564053741056).

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

51242833281024 is an frugal number, since it uses more digits than its factorization.

51242833281024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 51242833281024 in words is "fifty-one trillion, two hundred forty-two billion, eight hundred thirty-three million, two hundred eighty-one thousand, twenty-four".