1825431552 has 336 divisors, whose sum is σ = 6297363072. Its totient is φ = 517570560.

The previous prime is 1825431551. The next prime is 1825431557. The reversal of 1825431552 is 2551345281.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1825431551) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13934527 + ... + 13934657.

It is an arithmetic number, because the mean of its divisors is an integer number (18742152).

Almost surely, 2^1825431552 is an apocalyptic number.

1825431552 is a gapful number since it is divisible by the number (12) 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 1825431552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3148681536).

1825431552 is an abundant number, since it is smaller than the sum of its proper divisors (4471931520).

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

1825431552 is an frugal number, since it uses more digits than its factorization.

1825431552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 143 counting only the distinct ones).

The product of its digits is 48000, while the sum is 36.

The square root of 1825431552 is about 42725.0693621438. The cubic root of 1825431552 is about 1222.1425113023.

The spelling of 1825431552 in words is "one billion, eight hundred twenty-five million, four hundred thirty-one thousand, five hundred fifty-two".