1316417201 has 18 divisors (see below), whose sum is σ = 1495285218. Its totient is φ = 1158036000.

The previous prime is 1316417197. The next prime is 1316417209. The reversal of 1316417201 is 1027146131.

It can be written as a sum of positive squares in only one way, i.e., 840130225 + 476286976 = 28985^2 + 21824^2 .

It is not a de Polignac number, because 1316417201 - 2² = 1316417197 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1316417209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 110621 + ... + 121941.

It is an arithmetic number, because the mean of its divisors is an integer number (83071401).

Almost surely, 2^1316417201 is an apocalyptic number.

1316417201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1316417201 is a deficient number, since it is larger than the sum of its proper divisors (178868017).

1316417201 is a wasteful number, since it uses less digits than its factorization.

1316417201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11405 (or 11363 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 26.

The square root of 1316417201 is about 36282.4640976877. The cubic root of 1316417201 is about 1095.9679384946.

The spelling of 1316417201 in words is "one billion, three hundred sixteen million, four hundred seventeen thousand, two hundred one".