51204614947600 has 45 divisors (see below), whose sum is σ = 123019431245877. Its totient is φ = 20481788733120.

The previous prime is 51204614947573. The next prime is 51204614947609. The reversal of 51204614947600 is 674941640215.

The square root of 51204614947600 is 7155740.

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

It can be written as a sum of positive squares in only one way, i.e., 18433661381136 + 32770953566464 = 4293444^2 + 5724592^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (51204614947609) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 142935907 + ... + 143293693.

Almost surely, 2^{51204614947600} is an apocalyptic number.

51204614947600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

51204614947600 is the 7155740-th square number.

It is an amenable number.

51204614947600 is an abundant number, since it is smaller than the sum of its proper divisors (71814816298277).

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

51204614947600 is an frugal number, since it uses more digits than its factorization.

51204614947600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 715592 (or 357794 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 49.

The spelling of 51204614947600 in words is "fifty-one trillion, two hundred four billion, six hundred fourteen million, nine hundred forty-seven thousand, six hundred".