51130012164 has 216 divisors, whose sum is σ = 152985792960. Its totient is φ = 13242176640.

The previous prime is 51130012163. The next prime is 51130012273. The reversal of 51130012164 is 46121003115.

It is a happy number.

It is a super-2 number, since 2×51130012164² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (51130012163) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 31233154 + ... + 31234790.

It is an arithmetic number, because the mean of its divisors is an integer number (708267560).

Almost surely, 2^51130012164 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 51130012164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76492896480).

51130012164 is an abundant number, since it is smaller than the sum of its proper divisors (101855780796).

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

51130012164 is a wasteful number, since it uses less digits than its factorization.

51130012164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2119 (or 2099 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

Adding to 51130012164 its reverse (46121003115), we get a palindrome (97251015279).

The spelling of 51130012164 in words is "fifty-one billion, one hundred thirty million, twelve thousand, one hundred sixty-four".