51016511616 has 128 divisors (see below), whose sum is σ = 157410936960. Its totient is φ = 14337146880.

The previous prime is 51016511593. The next prime is 51016511639. The reversal of 51016511616 is 61611561015.

It is an interprime number because it is at equal distance from previous prime (51016511593) and next prime (51016511639).

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8400 + ... + 319536.

It is an arithmetic number, because the mean of its divisors is an integer number (1229772945).

Almost surely, 2^51016511616 is an apocalyptic number.

51016511616 is a gapful number since it is divisible by the number (56) 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 51016511616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78705468480).

51016511616 is an abundant number, since it is smaller than the sum of its proper divisors (106394425344).

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

51016511616 is a wasteful number, since it uses less digits than its factorization.

51016511616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311222 (or 311210 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 33.

The spelling of 51016511616 in words is "fifty-one billion, sixteen million, five hundred eleven thousand, six hundred sixteen".