51430413252000 has 384 divisors, whose sum is σ = 176342979391488. Its totient is φ = 13078826112000.

The previous prime is 51430413251951. The next prime is 51430413252007. The reversal of 51430413252000 is 25231403415.

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

It is not an unprimeable number, because it can be changed into a prime (51430413252007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 91074517 + ... + 91637483.

It is an arithmetic number, because the mean of its divisors is an integer number (459226508832).

Almost surely, 2^{51430413252000} is an apocalyptic number.

51430413252000 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 51430413252000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88171489695744).

51430413252000 is an abundant number, since it is smaller than the sum of its proper divisors (124912566139488).

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

51430413252000 is a wasteful number, since it uses less digits than its factorization.

51430413252000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 563349 (or 563331 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 51430413252000 its reverse (25231403415), we get a palindrome (51455644655415).

The spelling of 51430413252000 in words is "fifty-one trillion, four hundred thirty billion, four hundred thirteen million, two hundred fifty-two thousand".