51613797312 has 672 divisors, whose sum is σ = 202672005120. Its totient is φ = 12143831040.

The previous prime is 51613797311. The next prime is 51613797371. The reversal of 51613797312 is 21379731615.

51613797312 is a `hidden beast` number, since 516 + 1 + 37 + 97 + 3 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51613797311) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19380493 + ... + 19383155.

Almost surely, 2^51613797312 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 51613797312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101336002560).

51613797312 is an abundant number, since it is smaller than the sum of its proper divisors (151058207808).

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

51613797312 is a wasteful number, since it uses less digits than its factorization.

51613797312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2741 (or 2728 counting only the distinct ones).

The product of its digits is 238140, while the sum is 45.

The spelling of 51613797312 in words is "fifty-one billion, six hundred thirteen million, seven hundred ninety-seven thousand, three hundred twelve".