51651909533952 has 432 divisors, whose sum is σ = 187555190030208. Its totient is φ = 13305677414400.

The previous prime is 51651909533941. The next prime is 51651909533963. The reversal of 51651909533952 is 25933590915615.

51651909533952 is a `hidden beast` number, since 5 + 1 + 6 + 5 + 1 + 9 + 0 + 9 + 533 + 95 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (51651909533941) and next prime (51651909533963).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 51651909533952.

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 47 ways as a sum of consecutive naturals, for example, 6150952 + ... + 11880152.

Almost surely, 2^{51651909533952} is an apocalyptic number.

51651909533952 is a gapful number since it is divisible by the number (52) 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 51651909533952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93777595015104).

51651909533952 is an abundant number, since it is smaller than the sum of its proper divisors (135903280496256).

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

51651909533952 is a wasteful number, since it uses less digits than its factorization.

51651909533952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5729286 (or 5729269 counting only the distinct ones).

The product of its (nonzero) digits is 49207500, while the sum is 63.

The spelling of 51651909533952 in words is "fifty-one trillion, six hundred fifty-one billion, nine hundred nine million, five hundred thirty-three thousand, nine hundred fifty-two".