506134422435125 has 128 divisors (see below), whose sum is σ = 735284315750400. Its totient is φ = 343978070688000.

The previous prime is 506134422435041. The next prime is 506134422435149. The reversal of 506134422435125 is 521534224431605.

It is not a de Polignac number, because 506134422435125 - 2⁸ = 506134422434869 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 506134422435125.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 573551486 + ... + 574433264.

It is an arithmetic number, because the mean of its divisors is an integer number (5744408716800).

Almost surely, 2^{506134422435125} is an apocalyptic number.

506134422435125 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

506134422435125 is a deficient number, since it is larger than the sum of its proper divisors (229149893315275).

506134422435125 is a wasteful number, since it uses less digits than its factorization.

506134422435125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 882124 (or 882114 counting only the distinct ones).

The product of its (nonzero) digits is 3456000, while the sum is 47.

The spelling of 506134422435125 in words is "five hundred six trillion, one hundred thirty-four billion, four hundred twenty-two million, four hundred thirty-five thousand, one hundred twenty-five".