51121030752 has 288 divisors, whose sum is σ = 168458603040. Its totient is φ = 14533263360.

The previous prime is 51121030729. The next prime is 51121030771. The reversal of 51121030752 is 25703012115.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×51121030752² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19009824 + ... + 19012512.

It is an arithmetic number, because the mean of its divisors is an integer number (584925705).

Almost surely, 2^51121030752 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51121030752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84229301520).

51121030752 is an abundant number, since it is smaller than the sum of its proper divisors (117337572288).

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

51121030752 is a wasteful number, since it uses less digits than its factorization.

51121030752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3086 (or 3075 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 27.

Adding to 51121030752 its reverse (25703012115), we get a palindrome (76824042867).

The spelling of 51121030752 in words is "fifty-one billion, one hundred twenty-one million, thirty thousand, seven hundred fifty-two".