501051253248 has 640 divisors, whose sum is σ = 1921577011200. Its totient is φ = 125184393216.

The previous prime is 501051253217. The next prime is 501051253249. The reversal of 501051253248 is 842352150105.

501051253248 is a `hidden beast` number, since 5 + 0 + 105 + 12 + 532 + 4 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (501051253249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23891215 + ... + 23912177.

It is an arithmetic number, because the mean of its divisors is an integer number (3002464080).

Almost surely, 2^501051253248 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 501051253248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (960788505600).

501051253248 is an abundant number, since it is smaller than the sum of its proper divisors (1420525757952).

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

501051253248 is a wasteful number, since it uses less digits than its factorization.

501051253248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21029 (or 21007 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The spelling of 501051253248 in words is "five hundred one billion, fifty-one million, two hundred fifty-three thousand, two hundred forty-eight".