1461424125 has 64 divisors (see below), whose sum is σ = 2942784000. Its totient is φ = 628761600.

The previous prime is 1461424087. The next prime is 1461424147. The reversal of 1461424125 is 5214241641.

It is not a de Polignac number, because 1461424125 - 2⁶ = 1461424061 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1461424092 and 1461424101.

It is a congruent number.

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, 28251 + ... + 60999.

It is an arithmetic number, because the mean of its divisors is an integer number (45981000).

Almost surely, 2^1461424125 is an apocalyptic number.

1461424125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1461424125 is an abundant number, since it is smaller than the sum of its proper divisors (1481359875).

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

1461424125 is a wasteful number, since it uses less digits than its factorization.

1461424125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32791 (or 32781 counting only the distinct ones).

The product of its digits is 7680, while the sum is 30.

The square root of 1461424125 is about 38228.5773342404. The cubic root of 1461424125 is about 1134.8159313889.

Adding to 1461424125 its reverse (5214241641), we get a palindrome (6675665766).

The spelling of 1461424125 in words is "one billion, four hundred sixty-one million, four hundred twenty-four thousand, one hundred twenty-five".