51132544000 has 88 divisors (see below), whose sum is σ = 127564831368. Its totient is φ = 20452966400.

The previous prime is 51132543989. The next prime is 51132544003. The reversal of 51132544000 is 44523115.

It is a happy number.

51132544000 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 4 ways, for example, as 1442784256 + 49689759744 = 37984^2 + 222912^2 .

It is a super-2 number, since 2×51132544000² (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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51132544003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 71737 + ... + 327736.

Almost surely, 2^51132544000 is an apocalyptic number.

51132544000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

51132544000 is an abundant number, since it is smaller than the sum of its proper divisors (76432287368).

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

51132544000 is an equidigital number, since it uses as much as digits as its factorization.

51132544000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 399508 (or 399480 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The spelling of 51132544000 in words is "fifty-one billion, one hundred thirty-two million, five hundred forty-four thousand".