1825601632 has 48 divisors (see below), whose sum is σ = 3780145152. Its totient is φ = 866194560.

The previous prime is 1825601623. The next prime is 1825601633. The reversal of 1825601632 is 2361065281.

It is a super-2 number, since 2×1825601632² = 6665642637522126848, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1825601633) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 83707 + ... + 103237.

It is an arithmetic number, because the mean of its divisors is an integer number (78753024).

Almost surely, 2^1825601632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1825601632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1890072576).

1825601632 is an abundant number, since it is smaller than the sum of its proper divisors (1954543520).

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

1825601632 is a wasteful number, since it uses less digits than its factorization.

1825601632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19691 (or 19683 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 34.

The square root of 1825601632 is about 42727.0597162969. The cubic root of 1825601632 is about 1222.1804668098.

The spelling of 1825601632 in words is "one billion, eight hundred twenty-five million, six hundred one thousand, six hundred thirty-two".