51573817152 has 560 divisors, whose sum is σ = 185879232000. Its totient is φ = 13922979840.

The previous prime is 51573817109. The next prime is 51573817241. The reversal of 51573817152 is 25171837515.

51573817152 is a `hidden beast` number, since 5 + 1 + 573 + 8 + 1 + 71 + 5 + 2 = 666.

It is a super-2 number, since 2×51573817152² (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 51573817098 and 51573817107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 21496849 + ... + 21499247.

It is an arithmetic number, because the mean of its divisors is an integer number (331927200).

Almost surely, 2^51573817152 is an apocalyptic number.

51573817152 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 51573817152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92939616000).

51573817152 is an abundant number, since it is smaller than the sum of its proper divisors (134305414848).

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

51573817152 is a wasteful number, since it uses less digits than its factorization.

51573817152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2476 (or 2457 counting only the distinct ones).

The product of its digits is 294000, while the sum is 45.

The spelling of 51573817152 in words is "fifty-one billion, five hundred seventy-three million, eight hundred seventeen thousand, one hundred fifty-two".