51411337828900 has 135 divisors (see below), whose sum is σ = 130157520887891. Its totient is φ = 17625539809920.

The previous prime is 51411337828861. The next prime is 51411337828901. The reversal of 51411337828900 is 982873311415.

The square root of 51411337828900 is 7170170.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 29975252701156 + 21436085127744 = 5474966^2 + 4629912^2 .

It is not an unprimeable number, because it can be changed into a prime (51411337828901) by changing a digit.

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 44 ways as a sum of consecutive naturals, for example, 3513375984 + ... + 3513390616.

Almost surely, 2^{51411337828900} is an apocalyptic number.

51411337828900 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

51411337828900 is the 7170170-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51411337828900

51411337828900 is an abundant number, since it is smaller than the sum of its proper divisors (78746183058991).

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

51411337828900 is an frugal number, since it uses more digits than its factorization.

51411337828900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29308 (or 14647 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 52.

The spelling of 51411337828900 in words is "fifty-one trillion, four hundred eleven billion, three hundred thirty-seven million, eight hundred twenty-eight thousand, nine hundred".