51345603000 has 512 divisors, whose sum is σ = 184953600000. Its totient is φ = 13166323200.

The previous prime is 51345602977. The next prime is 51345603011. The reversal of 51345603000 is 30654315.

51345603000 is a `hidden beast` number, since 5 + 13 + 45 + 603 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 102896751 + ... + 102897249.

It is an arithmetic number, because the mean of its divisors is an integer number (361237500).

Almost surely, 2^51345603000 is an apocalyptic number.

51345603000 is a gapful number since it is divisible by the number (50) 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 51345603000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92476800000).

51345603000 is an abundant number, since it is smaller than the sum of its proper divisors (133607997000).

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

51345603000 is a wasteful number, since it uses less digits than its factorization.

51345603000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 669 (or 649 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The spelling of 51345603000 in words is "fifty-one billion, three hundred forty-five million, six hundred three thousand".