51225303540320 has 192 divisors, whose sum is σ = 148992601153536. Its totient is φ = 16207046645760.

The previous prime is 51225303540253. The next prime is 51225303540331. The reversal of 51225303540320 is 2304530352215.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 47617985 + ... + 48681855.

It is an arithmetic number, because the mean of its divisors is an integer number (776003131008).

Almost surely, 2^{51225303540320} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51225303540320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74496300576768).

51225303540320 is an abundant number, since it is smaller than the sum of its proper divisors (97767297613216).

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

51225303540320 is a wasteful number, since it uses less digits than its factorization.

51225303540320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1067213 (or 1067205 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 35.

Adding to 51225303540320 its reverse (2304530352215), we get a palindrome (53529833892535).

The spelling of 51225303540320 in words is "fifty-one trillion, two hundred twenty-five billion, three hundred three million, five hundred forty thousand, three hundred twenty".