461220525 has 36 divisors (see below), whose sum is σ = 827536320. Its totient is φ = 245556000.

The previous prime is 461220493. The next prime is 461220533. The reversal of 461220525 is 525022164.

461220525 is a `hidden beast` number, since 4 + 612 + 20 + 5 + 25 = 666.

It is not a de Polignac number, because 461220525 - 2⁵ = 461220493 is a prime.

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 160350 + ... + 163200.

It is an arithmetic number, because the mean of its divisors is an integer number (22987120).

Almost surely, 2^461220525 is an apocalyptic number.

461220525 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

461220525 is a deficient number, since it is larger than the sum of its proper divisors (366315795).

461220525 is a wasteful number, since it uses less digits than its factorization.

461220525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3586 (or 3578 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 461220525 is about 21476.0453761860. The cubic root of 461220525 is about 772.6263971390.

Adding to 461220525 its reverse (525022164), we get a palindrome (986242689).

The spelling of 461220525 in words is "four hundred sixty-one million, two hundred twenty thousand, five hundred twenty-five".