1461463125 has 40 divisors (see below), whose sum is σ = 2540936640. Its totient is φ = 745536000.

The previous prime is 1461463103. The next prime is 1461463141. The reversal of 1461463125 is 5213641641.

It is not a de Polignac number, because 1461463125 - 2⁵ = 1461463093 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 26181 + ... + 60069.

It is an arithmetic number, because the mean of its divisors is an integer number (63523416).

Almost surely, 2^1461463125 is an apocalyptic number.

1461463125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1461463125 is a deficient number, since it is larger than the sum of its proper divisors (1079473515).

1461463125 is an equidigital number, since it uses as much as digits as its factorization.

1461463125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33935 (or 33920 counting only the distinct ones).

The product of its digits is 17280, while the sum is 33.

The square root of 1461463125 is about 38229.0874204447. The cubic root of 1461463125 is about 1134.8260259779.

The spelling of 1461463125 in words is "one billion, four hundred sixty-one million, four hundred sixty-three thousand, one hundred twenty-five".