51061504152516 has 384 divisors, whose sum is σ = 143279655321600. Its totient is φ = 13948886784000.

The previous prime is 51061504152511. The next prime is 51061504152517. The reversal of 51061504152516 is 61525140516015.

It is a super-2 number, since 2×51061504152516² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (51061504152511) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 21445401646 + ... + 21445404026.

It is an arithmetic number, because the mean of its divisors is an integer number (373124102400).

Almost surely, 2^{51061504152516} 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 51061504152516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71639827660800).

51061504152516 is an abundant number, since it is smaller than the sum of its proper divisors (92218151169084).

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

51061504152516 is a wasteful number, since it uses less digits than its factorization.

51061504152516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3771 (or 3769 counting only the distinct ones).

The product of its (nonzero) digits is 180000, while the sum is 42.

The spelling of 51061504152516 in words is "fifty-one trillion, sixty-one billion, five hundred four million, one hundred fifty-two thousand, five hundred sixteen".