51254336571102 has 288 divisors, whose sum is σ = 134444130822144. Its totient is φ = 14055447369600.

The previous prime is 51254336571049. The next prime is 51254336571121. The reversal of 51254336571102 is 20117563345215.

51254336571102 is a `hidden beast` number, since 5 + 1 + 2 + 5 + 43 + 36 + 571 + 1 + 0 + 2 = 666.

It is a super-3 number, since 3×51254336571102³ (a number of 42 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 8965247548 + ... + 8965253264.

It is an arithmetic number, because the mean of its divisors is an integer number (466819898688).

Almost surely, 2^{51254336571102} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51254336571102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67222065411072).

51254336571102 is an abundant number, since it is smaller than the sum of its proper divisors (83189794251042).

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

51254336571102 is a wasteful number, since it uses less digits than its factorization.

51254336571102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8404 (or 8394 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 45.

The spelling of 51254336571102 in words is "fifty-one trillion, two hundred fifty-four billion, three hundred thirty-six million, five hundred seventy-one thousand, one hundred two".