506142531014010 has 64 divisors (see below), whose sum is σ = 1341947516129280. Its totient is φ = 121148039638080.

The previous prime is 506142531013981. The next prime is 506142531014011. The reversal of 506142531014010 is 10410135241605.

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

It is not an unprimeable number, because it can be changed into a prime (506142531014011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9707348902 + ... + 9707401041.

It is an arithmetic number, because the mean of its divisors is an integer number (20967929939520).

Almost surely, 2^{506142531014010} is an apocalyptic number.

506142531014010 is an abundant number, since it is smaller than the sum of its proper divisors (835804985115270).

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

506142531014010 is a wasteful number, since it uses less digits than its factorization.

506142531014010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19414750043.

The product of its (nonzero) digits is 14400, while the sum is 33.

Adding to 506142531014010 its reverse (10410135241605), we get a palindrome (516552666255615).

The spelling of 506142531014010 in words is "five hundred six trillion, one hundred forty-two billion, five hundred thirty-one million, fourteen thousand, ten".