51325083648 has 672 divisors, whose sum is σ = 171746265600. Its totient is φ = 15240462336.

The previous prime is 51325083631. The next prime is 51325083661. The reversal of 51325083648 is 84638052315.

51325083648 is a `hidden beast` number, since 5 + 132 + 508 + 3 + 6 + 4 + 8 = 666.

It is a super-2 number, since 2×51325083648² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 869916643 + ... + 869916701.

It is an arithmetic number, because the mean of its divisors is an integer number (255574800).

Almost surely, 2^51325083648 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 51325083648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85873132800).

51325083648 is an abundant number, since it is smaller than the sum of its proper divisors (120421181952).

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

51325083648 is an equidigital number, since it uses as much as digits as its factorization.

51325083648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 51325083648 in words is "fifty-one billion, three hundred twenty-five million, eighty-three thousand, six hundred forty-eight".