1461205413 has 28 divisors (see below), whose sum is σ = 2200160908. Its totient is φ = 969978240.

The previous prime is 1461205379. The next prime is 1461205439. The reversal of 1461205413 is 3145021641.

It is a happy number.

1461205413 is a `hidden beast` number, since 1 + 4 + 612 + 0 + 5 + 41 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1310946849 + 150258564 = 36207^2 + 12258^2 .

It is not a de Polignac number, because 1461205413 - 2⁶ = 1461205349 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1461205453) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 171531 + ... + 179847.

Almost surely, 2^1461205413 is an apocalyptic number.

It is an amenable number.

1461205413 is a deficient number, since it is larger than the sum of its proper divisors (738955495).

1461205413 is an frugal number, since it uses more digits than its factorization.

1461205413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8576 (or 8561 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 1461205413 is about 38225.7166446883. The cubic root of 1461205413 is about 1134.7593176060.

The spelling of 1461205413 in words is "one billion, four hundred sixty-one million, two hundred five thousand, four hundred thirteen".