51536114500 has 96 divisors (see below), whose sum is σ = 121843953504. Its totient is φ = 18929664000.

The previous prime is 51536114491. The next prime is 51536114519. The reversal of 51536114500 is 541163515.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 49465318464 + 2070796036 = 222408^2 + 45506^2 .

It is a super-2 number, since 2×51536114500² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1233960 + ... + 1275040.

It is an arithmetic number, because the mean of its divisors is an integer number (1269207849).

Almost surely, 2^51536114500 is an apocalyptic number.

51536114500 is a gapful number since it is divisible by the number (50) 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 51536114500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60921976752).

51536114500 is an abundant number, since it is smaller than the sum of its proper divisors (70307839004).

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

51536114500 is a wasteful number, since it uses less digits than its factorization.

51536114500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41306 (or 41294 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 31.

The spelling of 51536114500 in words is "fifty-one billion, five hundred thirty-six million, one hundred fourteen thousand, five hundred".