506130301103460 has 192 divisors, whose sum is σ = 1548620262604800. Its totient is φ = 122490314380800.

The previous prime is 506130301103389. The next prime is 506130301103521. The reversal of 506130301103460 is 64301103031605.

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 930335325 + ... + 930879195.

It is an arithmetic number, because the mean of its divisors is an integer number (8065730534400).

Almost surely, 2^{506130301103460} 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 506130301103460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (774310131302400).

506130301103460 is an abundant number, since it is smaller than the sum of its proper divisors (1042489961501340).

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

506130301103460 is a wasteful number, since it uses less digits than its factorization.

506130301103460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 546282 (or 546280 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 33.

The spelling of 506130301103460 in words is "five hundred six trillion, one hundred thirty billion, three hundred one million, one hundred three thousand, four hundred sixty".