506084625 has 64 divisors (see below), whose sum is σ = 944686080. Its totient is φ = 267321600.

The previous prime is 506084603. The next prime is 506084647. The reversal of 506084625 is 526480605.

506084625 is a `hidden beast` number, since 5 + 0 + 608 + 46 + 2 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (506084603) and next prime (506084647).

It is not a de Polignac number, because 506084625 - 2⁶ = 506084561 is a prime.

It is a super-2 number, since 2×506084625² = 512243295322781250, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 506084625.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 380712 + ... + 382038.

It is an arithmetic number, because the mean of its divisors is an integer number (14760720).

Almost surely, 2^506084625 is an apocalyptic number.

It is an amenable number.

506084625 is a deficient number, since it is larger than the sum of its proper divisors (438601455).

506084625 is a wasteful number, since it uses less digits than its factorization.

506084625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1464 (or 1448 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 506084625 is about 22496.3246998260. The cubic root of 506084625 is about 796.9071336523.

The spelling of 506084625 in words is "five hundred six million, eighty-four thousand, six hundred twenty-five".