503256455040 has 256 divisors, whose sum is σ = 1612459068480. Its totient is φ = 133507055616.

The previous prime is 503256454949. The next prime is 503256455071. The reversal of 503256455040 is 40554652305.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 503256455040.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 496797574 + ... + 496798586.

Almost surely, 2^503256455040 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 503256455040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (806229534240).

503256455040 is an abundant number, since it is smaller than the sum of its proper divisors (1109202613440).

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

503256455040 is a wasteful number, since it uses less digits than its factorization.

503256455040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2121 (or 2109 counting only the distinct ones).

The product of its (nonzero) digits is 360000, while the sum is 39.

The spelling of 503256455040 in words is "five hundred three billion, two hundred fifty-six million, four hundred fifty-five thousand, forty".