461056275225 has 144 divisors (see below), whose sum is σ = 1016833918464. Its totient is φ = 194467392000.

The previous prime is 461056275223. The next prime is 461056275247. The reversal of 461056275225 is 522572650164.

461056275225 is a `hidden beast` number, since 4 + 6 + 10 + 5 + 627 + 5 + 2 + 2 + 5 = 666.

It is not a de Polignac number, because 461056275225 - 2¹ = 461056275223 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (461056275223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 65946480 + ... + 65953470.

It is an arithmetic number, because the mean of its divisors is an integer number (7061346656).

Almost surely, 2^461056275225 is an apocalyptic number.

461056275225 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

461056275225 is an abundant number, since it is smaller than the sum of its proper divisors (555777643239).

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

461056275225 is a wasteful number, since it uses less digits than its factorization.

461056275225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10248 (or 10240 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 45.

The spelling of 461056275225 in words is "four hundred sixty-one billion, fifty-six million, two hundred seventy-five thousand, two hundred twenty-five".