51261158250 has 288 divisors, whose sum is σ = 152052885504. Its totient is φ = 12445632000.

The previous prime is 51261158213. The next prime is 51261158251. The reversal of 51261158250 is 5285116215.

51261158250 is a `hidden beast` number, since 5 + 1 + 26 + 1 + 1 + 582 + 50 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (51261158251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 20156479 + ... + 20159021.

It is an arithmetic number, because the mean of its divisors is an integer number (527961408).

Almost surely, 2^51261158250 is an apocalyptic number.

51261158250 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 51261158250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76026442752).

51261158250 is an abundant number, since it is smaller than the sum of its proper divisors (100791727254).

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

51261158250 is a wasteful number, since it uses less digits than its factorization.

51261158250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2631 (or 2601 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 36.

The spelling of 51261158250 in words is "fifty-one billion, two hundred sixty-one million, one hundred fifty-eight thousand, two hundred fifty".