51465125250 has 512 divisors, whose sum is σ = 180243947520. Its totient is φ = 10556352000.

The previous prime is 51465125233. The next prime is 51465125267. The reversal of 51465125250 is 5252156415.

51465125250 is a `hidden beast` number, since 5 + 1 + 46 + 512 + 52 + 50 = 666.

It is an interprime number because it is at equal distance from previous prime (51465125233) and next prime (51465125267).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 43138654 + ... + 43139846.

It is an arithmetic number, because the mean of its divisors is an integer number (352038960).

Almost surely, 2^51465125250 is an apocalyptic number.

51465125250 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 51465125250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90121973760).

51465125250 is an abundant number, since it is smaller than the sum of its proper divisors (128778822270).

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

51465125250 is a wasteful number, since it uses less digits than its factorization.

51465125250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1320 (or 1304 counting only the distinct ones).

The product of its (nonzero) digits is 60000, while the sum is 36.

It can be divided in two parts, 51465 and 125250, that added together give a triangular number (176715 = T₅₉₄).

The spelling of 51465125250 in words is "fifty-one billion, four hundred sixty-five million, one hundred twenty-five thousand, two hundred fifty".