51501153255552 has 2304 divisors, whose sum is σ = 209746825574400. Its totient is φ = 12078155980800.

The previous prime is 51501153255533. The next prime is 51501153255589. The reversal of 51501153255552 is 25555235110515.

51501153255552 is a `hidden beast` number, since 5 + 1 + 5 + 0 + 1 + 15 + 32 + 55 + 552 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 51501153255498 and 51501153255507.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 405520891713 + ... + 405520891839.

It is an arithmetic number, because the mean of its divisors is an integer number (91035948600).

Almost surely, 2^{51501153255552} is an apocalyptic number.

51501153255552 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 51501153255552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104873412787200).

51501153255552 is an abundant number, since it is smaller than the sum of its proper divisors (158245672318848).

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

51501153255552 is a wasteful number, since it uses less digits than its factorization.

51501153255552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 937500, while the sum is 45.

The spelling of 51501153255552 in words is "fifty-one trillion, five hundred one billion, one hundred fifty-three million, two hundred fifty-five thousand, five hundred fifty-two".