503145312564300 has 432 divisors, whose sum is σ = 1687963207607040. Its totient is φ = 113352553543680.

The previous prime is 503145312564283. The next prime is 503145312564331. The reversal of 503145312564300 is 3465213541305.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5272961991 + ... + 5273057409.

Almost surely, 2^{503145312564300} is an apocalyptic number.

503145312564300 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 503145312564300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (843981603803520).

503145312564300 is an abundant number, since it is smaller than the sum of its proper divisors (1184817895042740).

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

503145312564300 is a wasteful number, since it uses less digits than its factorization.

503145312564300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95938 (or 95842 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 42.

The spelling of 503145312564300 in words is "five hundred three trillion, one hundred forty-five billion, three hundred twelve million, five hundred sixty-four thousand, three hundred".