1831413825 has 36 divisors (see below), whose sum is σ = 3473229708. Its totient is φ = 919296000.

The previous prime is 1831413823. The next prime is 1831413889. The reversal of 1831413825 is 5283141381.

It can be written as a sum of positive squares in 6 ways, for example, as 3594816 + 1827819009 = 1896^2 + 42753^2 .

It is not a de Polignac number, because 1831413825 - 2¹ = 1831413823 is a prime.

It is a super-2 number, since 2×1831413825² = 6708153196802261250, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1831413825.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1831413823) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 235576 + ... + 243225.

It is an arithmetic number, because the mean of its divisors is an integer number (96478603).

Almost surely, 2^1831413825 is an apocalyptic number.

1831413825 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1831413825 is a deficient number, since it is larger than the sum of its proper divisors (1641815883).

1831413825 is a wasteful number, since it uses less digits than its factorization.

1831413825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 478834 (or 478826 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The square root of 1831413825 is about 42795.0210304890. The cubic root of 1831413825 is about 1223.4761170363.

It can be divided in two parts, 183141 and 3825, that added together give a triangular number (186966 = T₆₁₁).

The spelling of 1831413825 in words is "one billion, eight hundred thirty-one million, four hundred thirteen thousand, eight hundred twenty-five".