463031605125 has 48 divisors (see below), whose sum is σ = 834879090240. Its totient is φ = 246894732000.

The previous prime is 463031605081. The next prime is 463031605129. The reversal of 463031605125 is 521506130364.

463031605125 is a `hidden beast` number, since 4 + 6 + 3 + 0 + 31 + 605 + 12 + 5 = 666.

It is not a de Polignac number, because 463031605125 - 2⁶ = 463031605061 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 463031605125.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (463031605129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5233506 + ... + 5321244.

It is an arithmetic number, because the mean of its divisors is an integer number (17393314380).

Almost surely, 2^463031605125 is an apocalyptic number.

463031605125 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

463031605125 is a deficient number, since it is larger than the sum of its proper divisors (371847485115).

463031605125 is a wasteful number, since it uses less digits than its factorization.

463031605125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92451 (or 92438 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

Adding to 463031605125 its reverse (521506130364), we get a palindrome (984537735489).

The spelling of 463031605125 in words is "four hundred sixty-three billion, thirty-one million, six hundred five thousand, one hundred twenty-five".