461503125 has 72 divisors (see below), whose sum is σ = 850023720. Its totient is φ = 241200000.

The previous prime is 461503117. The next prime is 461503151. The reversal of 461503125 is 521305164.

It can be written as a sum of positive squares in 12 ways, for example, as 344733489 + 116769636 = 18567^2 + 10806^2 .

It is not a de Polignac number, because 461503125 - 2³ = 461503117 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1715491 + ... + 1715759.

It is an arithmetic number, because the mean of its divisors is an integer number (11805885).

Almost surely, 2^461503125 is an apocalyptic number.

461503125 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

461503125 is a deficient number, since it is larger than the sum of its proper divisors (388520595).

461503125 is an equidigital number, since it uses as much as digits as its factorization.

461503125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 361 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 461503125 is about 21482.6237922652. The cubic root of 461503125 is about 772.7841666718.

Adding to 461503125 its reverse (521305164), we get a palindrome (982808289).

The spelling of 461503125 in words is "four hundred sixty-one million, five hundred three thousand, one hundred twenty-five".