1821517152 has 288 divisors, whose sum is σ = 6071079168. Its totient is φ = 467970048.

The previous prime is 1821517151. The next prime is 1821517169. The reversal of 1821517152 is 2517151281.

It is a super-2 number, since 2×1821517152² = 6635849470060382208, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1821517151) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4883238 + ... + 4883610.

It is an arithmetic number, because the mean of its divisors is an integer number (21080136).

Almost surely, 2^1821517152 is an apocalyptic number.

1821517152 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 1821517152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3035539584).

1821517152 is an abundant number, since it is smaller than the sum of its proper divisors (4249562016).

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

1821517152 is a wasteful number, since it uses less digits than its factorization.

1821517152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 462 (or 441 counting only the distinct ones).

The product of its digits is 5600, while the sum is 33.

The square root of 1821517152 is about 42679.2356070256. The cubic root of 1821517152 is about 1221.2683110357.

The spelling of 1821517152 in words is "one billion, eight hundred twenty-one million, five hundred seventeen thousand, one hundred fifty-two".