1835727813 has 32 divisors (see below), whose sum is σ = 2909329920. Its totient is φ = 1139927040.

The previous prime is 1835727793. The next prime is 1835727851. The reversal of 1835727813 is 3187275381.

1835727813 is a `hidden beast` number, since 1 + 8 + 3 + 572 + 78 + 1 + 3 = 666.

It is not a de Polignac number, because 1835727813 - 2¹³ = 1835719621 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1835727853) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23908 + ... + 65138.

It is an arithmetic number, because the mean of its divisors is an integer number (90916560).

Almost surely, 2^1835727813 is an apocalyptic number.

It is an amenable number.

1835727813 is a deficient number, since it is larger than the sum of its proper divisors (1073602107).

1835727813 is a wasteful number, since it uses less digits than its factorization.

1835727813 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41354 (or 41348 counting only the distinct ones).

The product of its digits is 282240, while the sum is 45.

The square root of 1835727813 is about 42845.3943032387. The cubic root of 1835727813 is about 1224.4360170478.

The spelling of 1835727813 in words is "one billion, eight hundred thirty-five million, seven hundred twenty-seven thousand, eight hundred thirteen".