51134506000 has 80 divisors (see below), whose sum is σ = 125976387888. Its totient is φ = 20067840000.

The previous prime is 51134505923. The next prime is 51134506021. The reversal of 51134506000 is 60543115.

51134506000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 14110588944 + 37023917056 = 118788^2 + 192416^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×51134506000² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 135201 + ... + 347200.

Almost surely, 2^51134506000 is an apocalyptic number.

51134506000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

51134506000 is an abundant number, since it is smaller than the sum of its proper divisors (74841881888).

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

51134506000 is a wasteful number, since it uses less digits than its factorization.

51134506000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 482477 (or 482461 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 25.

The spelling of 51134506000 in words is "fifty-one billion, one hundred thirty-four million, five hundred six thousand".