51252651300 has 144 divisors (see below), whose sum is σ = 149449184640. Its totient is φ = 13560975360.

The previous prime is 51252651283. The next prime is 51252651313. The reversal of 51252651300 is 315625215.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 48214569 + ... + 48215631.

It is an arithmetic number, because the mean of its divisors is an integer number (1037841560).

Almost surely, 2^51252651300 is an apocalyptic number.

51252651300 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51252651300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74724592320).

51252651300 is an abundant number, since it is smaller than the sum of its proper divisors (98196533340).

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

51252651300 is a wasteful number, since it uses less digits than its factorization.

51252651300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2182 (or 2175 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 30.

The spelling of 51252651300 in words is "fifty-one billion, two hundred fifty-two million, six hundred fifty-one thousand, three hundred".