1835209380601 has 9 divisors (see below), whose sum is σ = 1866923140303. Its totient is φ = 1804025564320.

The previous prime is 1835209380593. The next prime is 1835209380671. The reversal of 1835209380601 is 1060839025381.

The square root of 1835209380601 is 1354699.

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

It can be written as a sum of positive squares in only one way, i.e., 1268441315001 + 566768065600 = 1126251^2 + 752840^2 .

It is not a de Polignac number, because 1835209380601 - 2³ = 1835209380593 is a prime.

It is a super-3 number, since 3×1835209380601³ (a number of 38 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1835209380671) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 79915761 + ... + 79938721.

Almost surely, 2^{1835209380601} is an apocalyptic number.

1835209380601 is the 1354699-th square number.

1835209380601 is the 677350-th centered octagonal number.

It is an amenable number.

1835209380601 is a deficient number, since it is larger than the sum of its proper divisors (31713759702).

1835209380601 is an frugal number, since it uses more digits than its factorization.

1835209380601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46040 (or 23020 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 46.

The spelling of 1835209380601 in words is "one trillion, eight hundred thirty-five billion, two hundred nine million, three hundred eighty thousand, six hundred one".