506242762551020 has 96 divisors (see below), whose sum is σ = 1165304595958272. Its totient is φ = 183207648960000.

The previous prime is 506242762550981. The next prime is 506242762551059. The reversal of 506242762551020 is 20155267242605.

It is an interprime number because it is at equal distance from previous prime (506242762550981) and next prime (506242762551059).

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 31 ways as a sum of consecutive naturals, for example, 1093470185 + ... + 1093933055.

It is an arithmetic number, because the mean of its divisors is an integer number (12138589541232).

Almost surely, 2^{506242762551020} 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 506242762551020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (582652297979136).

506242762551020 is an abundant number, since it is smaller than the sum of its proper divisors (659061833407252).

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

506242762551020 is a wasteful number, since it uses less digits than its factorization.

506242762551020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486663 (or 486661 counting only the distinct ones).

The product of its (nonzero) digits is 2016000, while the sum is 47.

The spelling of 506242762551020 in words is "five hundred six trillion, two hundred forty-two billion, seven hundred sixty-two million, five hundred fifty-one thousand, twenty".