506426431225 has 48 divisors (see below), whose sum is σ = 738051761664. Its totient is φ = 339841152000.

The previous prime is 506426431219. The next prime is 506426431261. The reversal of 506426431225 is 522134624605.

It is a happy number.

It is not a de Polignac number, because 506426431225 - 2¹⁹ = 506425906937 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9235489 + ... + 9290161.

It is an arithmetic number, because the mean of its divisors is an integer number (15376078368).

Almost surely, 2^506426431225 is an apocalyptic number.

506426431225 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

506426431225 is a deficient number, since it is larger than the sum of its proper divisors (231625330439).

506426431225 is a wasteful number, since it uses less digits than its factorization.

506426431225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57298 (or 57293 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 40.

The spelling of 506426431225 in words is "five hundred six billion, four hundred twenty-six million, four hundred thirty-one thousand, two hundred twenty-five".