1825131000 has 256 divisors, whose sum is σ = 7100421120. Its totient is φ = 379200000.

The previous prime is 1825130977. The next prime is 1825131017. The reversal of 1825131000 is 1315281.

1825131000 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1825131000² = 6662206334322000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 227050 + ... + 234950.

It is an arithmetic number, because the mean of its divisors is an integer number (27736020).

Almost surely, 2^1825131000 is an apocalyptic number.

1825131000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1825131000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3550210560).

1825131000 is an abundant number, since it is smaller than the sum of its proper divisors (5275290120).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1825131000 is a wasteful number, since it uses less digits than its factorization.

1825131000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7943 (or 7929 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 21.

The square root of 1825131000 is about 42721.5519381026. The cubic root of 1825131000 is about 1222.0754335499.

Adding to 1825131000 its reverse (1315281), we get a palindrome (1826446281).

The spelling of 1825131000 in words is "one billion, eight hundred twenty-five million, one hundred thirty-one thousand".