51005501600 has 72 divisors (see below), whose sum is σ = 128810935260. Its totient is φ = 19698667520.

The previous prime is 51005501587. The next prime is 51005501609. The reversal of 51005501600 is 610550015.

It can be written as a sum of positive squares in 6 ways, for example, as 21102791824 + 29902709776 = 145268^2 + 172924^2 .

It is a super-2 number, since 2×51005501600² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (51005501609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1076057 + ... + 1122456.

Almost surely, 2^51005501600 is an apocalyptic number.

51005501600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

51005501600 is an abundant number, since it is smaller than the sum of its proper divisors (77805433660).

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

51005501600 is a wasteful number, since it uses less digits than its factorization.

51005501600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2198562 (or 2198549 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 23.

The spelling of 51005501600 in words is "fifty-one billion, five million, five hundred one thousand, six hundred".