51225541532000 has 384 divisors, whose sum is σ = 140715569554560. Its totient is φ = 18164920320000.

The previous prime is 51225541531981. The next prime is 51225541532029. The reversal of 51225541532000 is 23514552215.

It is a happy number.

It is a super-2 number, since 2×51225541532000² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5117942996 + ... + 5117953004.

It is an arithmetic number, because the mean of its divisors is an integer number (366446795715).

Almost surely, 2^{51225541532000} is an apocalyptic number.

51225541532000 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 51225541532000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70357784777280).

51225541532000 is an abundant number, since it is smaller than the sum of its proper divisors (89490028022560).

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

51225541532000 is a wasteful number, since it uses less digits than its factorization.

51225541532000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12923 (or 12905 counting only the distinct ones).

The product of its (nonzero) digits is 60000, while the sum is 35.

The spelling of 51225541532000 in words is "fifty-one trillion, two hundred twenty-five billion, five hundred forty-one million, five hundred thirty-two thousand".