506040341625 has 320 divisors, whose sum is σ = 1165552227840. Its totient is φ = 212723366400.

The previous prime is 506040341581. The next prime is 506040341633. The reversal of 506040341625 is 526143040605.

506040341625 is a `hidden beast` number, since 5 + 0 + 604 + 0 + 3 + 41 + 6 + 2 + 5 = 666.

It is not a de Polignac number, because 506040341625 - 2⁶ = 506040341561 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 506040341625.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 282861231 + ... + 282863019.

It is an arithmetic number, because the mean of its divisors is an integer number (3642350712).

Almost surely, 2^506040341625 is an apocalyptic number.

It is an amenable number.

506040341625 is an abundant number, since it is smaller than the sum of its proper divisors (659511886215).

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

506040341625 is a wasteful number, since it uses less digits than its factorization.

506040341625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2143 (or 2124 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 506040341625 in words is "five hundred six billion, forty million, three hundred forty-one thousand, six hundred twenty-five".