5835800061 has 64 divisors (see below), whose sum is σ = 10689495040. Its totient is φ = 3064132800.

The previous prime is 5835800041. The next prime is 5835800063. The reversal of 5835800061 is 1600085385.

It is not a de Polignac number, because 5835800061 - 2¹⁹ = 5835275773 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 5835799989 and 5835800025.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5835800063) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 542586 + ... + 553236.

It is an arithmetic number, because the mean of its divisors is an integer number (167023360).

Almost surely, 2^5835800061 is an apocalyptic number.

It is an amenable number.

5835800061 is a deficient number, since it is larger than the sum of its proper divisors (4853694979).

5835800061 is a wasteful number, since it uses less digits than its factorization.

5835800061 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10903 (or 10897 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 5835800061 is about 76392.4083990026. The cubic root of 5835800061 is about 1800.3908678951.

The spelling of 5835800061 in words is "five billion, eight hundred thirty-five million, eight hundred thousand, sixty-one".