506134024001034 has 128 divisors (see below), whose sum is σ = 1235618460921600. Its totient is φ = 136097102776320.

The previous prime is 506134024001033. The next prime is 506134024001041. The reversal of 506134024001034 is 430100420431605.

It is a happy number.

It is a super-2 number, since 2×506134024001034² (a number of 30 digits) contains 22 as substring.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 506134024000986 and 506134024001004.

It is not an unprimeable number, because it can be changed into a prime (506134024001033) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 38715499 + ... + 50111454.

It is an arithmetic number, because the mean of its divisors is an integer number (9653269225950).

Almost surely, 2^{506134024001034} is an apocalyptic number.

506134024001034 is an abundant number, since it is smaller than the sum of its proper divisors (729484436920566).

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

506134024001034 is a wasteful number, since it uses less digits than its factorization.

506134024001034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88827240.

The product of its (nonzero) digits is 34560, while the sum is 33.

Adding to 506134024001034 its reverse (430100420431605), we get a palindrome (936234444432639).

The spelling of 506134024001034 in words is "five hundred six trillion, one hundred thirty-four billion, twenty-four million, one thousand, thirty-four".