1461417013 has 32 divisors (see below), whose sum is σ = 1752192000. Its totient is φ = 1217809152.

The previous prime is 1461416989. The next prime is 1461417031. The reversal of 1461417013 is 3107141641.

It is a happy number.

It is not a de Polignac number, because 1461417013 - 2²⁹ = 924546101 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1461417043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4336381 + ... + 4336717.

It is an arithmetic number, because the mean of its divisors is an integer number (54756000).

Almost surely, 2^1461417013 is an apocalyptic number.

It is an amenable number.

1461417013 is a deficient number, since it is larger than the sum of its proper divisors (290774987).

1461417013 is an equidigital number, since it uses as much as digits as its factorization.

1461417013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 674 (or 660 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 28.

The square root of 1461417013 is about 38228.4843147096. The cubic root of 1461417013 is about 1134.8140905307.

Adding to 1461417013 its reverse (3107141641), we get a palindrome (4568558654).

The spelling of 1461417013 in words is "one billion, four hundred sixty-one million, four hundred seventeen thousand, thirteen".