801401410513 has 24 divisors (see below), whose sum is σ = 911388378600. Its totient is φ = 703321006080.

The previous prime is 801401410507. The next prime is 801401410519. The reversal of 801401410513 is 315014104108.

It is an interprime number because it is at equal distance from previous prime (801401410507) and next prime (801401410519).

It can be written as a sum of positive squares in 4 ways, for example, as 396488086929 + 404913323584 = 629673^2 + 636328^2 .

It is a de Polignac number, because none of the positive numbers 2^k-801401410513 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (801401410519) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33228703 + ... + 33252811.

It is an arithmetic number, because the mean of its divisors is an integer number (37974515775).

Almost surely, 2^801401410513 is an apocalyptic number.

It is an amenable number.

801401410513 is a deficient number, since it is larger than the sum of its proper divisors (109986968087).

801401410513 is a wasteful number, since it uses less digits than its factorization.

801401410513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33633 (or 33622 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 28.

The spelling of 801401410513 in words is "eight hundred one billion, four hundred one million, four hundred ten thousand, five hundred thirteen".