51097257050112 has 2856 divisors, whose sum is σ = 203035803080544. Its totient is φ = 12713698787328.

The previous prime is 51097257050111. The next prime is 51097257050129. The reversal of 51097257050112 is 21105075279015.

51097257050112 is a `hidden beast` number, since 5 + 1 + 0 + 9 + 72 + 5 + 70 + 501 + 1 + 2 = 666.

It is a super-2 number, since 2×51097257050112² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (51097257050111) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 699962425308 + ... + 699962425380.

Almost surely, 2^{51097257050112} is an apocalyptic number.

51097257050112 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 51097257050112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101517901540272).

51097257050112 is an abundant number, since it is smaller than the sum of its proper divisors (151938546030432).

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

51097257050112 is an frugal number, since it uses more digits than its factorization.

51097257050112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 220500, while the sum is 45.

The spelling of 51097257050112 in words is "fifty-one trillion, ninety-seven billion, two hundred fifty-seven million, fifty thousand, one hundred twelve".