1831925601 has 27 divisors (see below), whose sum is σ = 2910783603. Its totient is φ = 1109401920.

The previous prime is 1831925573. The next prime is 1831925609. The reversal of 1831925601 is 1065291381.

The square root of 1831925601 is 42801.

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

1831925601 is a `hidden beast` number, since 1 + 8 + 3 + 1 + 92 + 560 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1826280225 + 5645376 = 42735^2 + 2376^2 .

It is not a de Polignac number, because 1831925601 - 2⁵ = 1831925569 is a prime.

It is a super-2 number, since 2×1831925601² = 6711902815198422402, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1831925609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1411785 + ... + 1413081.

Almost surely, 2^1831925601 is an apocalyptic number.

1831925601 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1831925601 is the 42801-st square number.

1831925601 is the 21401-st centered octagonal number.

It is an amenable number.

1831925601 is a deficient number, since it is larger than the sum of its proper divisors (1078858002).

1831925601 is an equidigital number, since it uses as much as digits as its factorization.

1831925601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2622 (or 1311 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The cubic root of 1831925601 is about 1223.5900704185.

Multiplying 1831925601 by its sum of digits (36), we get a square (65949321636 = 256806²).

The spelling of 1831925601 in words is "one billion, eight hundred thirty-one million, nine hundred twenty-five thousand, six hundred one".