4013095801 has 27 divisors (see below), whose sum is σ = 4787310927. Its totient is φ = 3360030960.

The previous prime is 4013095783. The next prime is 4013095819. The reversal of 4013095801 is 1085903104.

The square root of 4013095801 is 63349.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (4013095783) and next prime (4013095819).

It can be written as a sum of positive squares in only one way, i.e., 593653225 + 3419442576 = 24365^2 + 58476^2 .

It is not a de Polignac number, because 4013095801 - 2¹⁷ = 4012964729 is a prime.

It is a super-2 number, since 2×4013095801² = 32209875816007663202, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4013095841) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 9058686 + ... + 9059128.

Almost surely, 2^4013095801 is an apocalyptic number.

4013095801 is the 63349-th square number.

4013095801 is the 31675-th centered octagonal number.

It is an amenable number.

4013095801 is a deficient number, since it is larger than the sum of its proper divisors (774215126).

4013095801 is an equidigital number, since it uses as much as digits as its factorization.

4013095801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 934 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 31.

The cubic root of 4013095801 is about 1589.1315222057.

Adding to 4013095801 its reverse (1085903104), we get a palindrome (5098998905).

The spelling of 4013095801 in words is "four billion, thirteen million, ninety-five thousand, eight hundred one".