51383149632 has 420 divisors, whose sum is σ = 163466585436. Its totient is φ = 15948472320.

The previous prime is 51383149613. The next prime is 51383149639. The reversal of 51383149632 is 23694138315.

51383149632 is a `hidden beast` number, since 5 + 1 + 3 + 8 + 3 + 1 + 4 + 9 + 632 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 21722043456 + 29661106176 = 147384^2 + 172224^2 .

It is a super-2 number, since 2×51383149632² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (51383149639) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 112435548 + ... + 112436004.

Almost surely, 2^51383149632 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 51383149632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81733292718).

51383149632 is an abundant number, since it is smaller than the sum of its proper divisors (112083435804).

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

51383149632 is a wasteful number, since it uses less digits than its factorization.

51383149632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 568 (or 526 counting only the distinct ones).

The product of its digits is 466560, while the sum is 45.

The spelling of 51383149632 in words is "fifty-one billion, three hundred eighty-three million, one hundred forty-nine thousand, six hundred thirty-two".