1461117361 has 8 divisors (see below), whose sum is σ = 1611856800. Its totient is φ = 1313363040.

The previous prime is 1461117349. The next prime is 1461117373. The reversal of 1461117361 is 1637111641.

It is an interprime number because it is at equal distance from previous prime (1461117349) and next prime (1461117373).

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 1461117361 - 2⁹ = 1461116849 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1461117311) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 745251 + ... + 747208.

It is an arithmetic number, because the mean of its divisors is an integer number (201482100).

Almost surely, 2^1461117361 is an apocalyptic number.

1461117361 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1461117361 is a deficient number, since it is larger than the sum of its proper divisors (150739439).

1461117361 is a wasteful number, since it uses less digits than its factorization.

1461117361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1492559.

The product of its digits is 3024, while the sum is 31.

The square root of 1461117361 is about 38224.5648896099. The cubic root of 1461117361 is about 1134.7365236777.

The spelling of 1461117361 in words is "one billion, four hundred sixty-one million, one hundred seventeen thousand, three hundred sixty-one".