51011535079696 has 135 divisors (see below), whose sum is σ = 107044407977871. Its totient is φ = 23546752196352.

The previous prime is 51011535079679. The next prime is 51011535079727. The reversal of 51011535079696 is 69697053511015.

The square root of 51011535079696 is 7142236.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 17426450250000 + 33585084829696 = 4174500^2 + 5795264^2 .

It is a super-2 number, since 2×51011535079696² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (58).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 51011535079696.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 19055484310 + ... + 19055486986.

Almost surely, 2^{51011535079696} is an apocalyptic number.

51011535079696 is the 7142236-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51011535079696

51011535079696 is an abundant number, since it is smaller than the sum of its proper divisors (56032872898175).

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

51011535079696 is an frugal number, since it uses more digits than its factorization.

51011535079696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5466 (or 2731 counting only the distinct ones).

The product of its (nonzero) digits is 7654500, while the sum is 58.

The spelling of 51011535079696 in words is "fifty-one trillion, eleven billion, five hundred thirty-five million, seventy-nine thousand, six hundred ninety-six".