5829081093801 has 135 divisors (see below), whose sum is σ = 10695777711399. Its totient is φ = 3154028274432.

The previous prime is 5829081093793. The next prime is 5829081093809. The reversal of 5829081093801 is 1083901809285.

The square root of 5829081093801 is 2414349.

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 (5829081093793) and next prime (5829081093809).

It can be written as a sum of positive squares in only one way, i.e., 4930331589225 + 898749504576 = 2220435^2 + 948024^2 .

It is not a de Polignac number, because 5829081093801 - 2³ = 5829081093793 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (5829081093809) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 2889974745 + ... + 2889976761.

Almost surely, 2^{5829081093801} is an apocalyptic number.

5829081093801 is the 2414349-th square number.

5829081093801 is the 1207175-th centered octagonal number.

It is an amenable number.

5829081093801 is a deficient number, since it is larger than the sum of its proper divisors (4866696617598).

5829081093801 is an frugal number, since it uses more digits than its factorization.

5829081093801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4098 (or 2046 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 54.

The spelling of 5829081093801 in words is "five trillion, eight hundred twenty-nine billion, eighty-one million, ninety-three thousand, eight hundred one".