1601752152 has 256 divisors, whose sum is σ = 5469649920. Its totient is φ = 377395200.

The previous prime is 1601752133. The next prime is 1601752219. The reversal of 1601752152 is 2512571061.

It is a super-2 number, since 2×1601752152² = 5131219912873262208, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1464918 + ... + 1466010.

It is an arithmetic number, because the mean of its divisors is an integer number (21365820).

Almost surely, 2^1601752152 is an apocalyptic number.

1601752152 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 1601752152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2734824960).

1601752152 is an abundant number, since it is smaller than the sum of its proper divisors (3867897768).

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

1601752152 is a wasteful number, since it uses less digits than its factorization.

1601752152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1194 (or 1190 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 30.

The square root of 1601752152 is about 40021.8959071156. The cubic root of 1601752152 is about 1170.0338831593.

The spelling of 1601752152 in words is "one billion, six hundred one million, seven hundred fifty-two thousand, one hundred fifty-two".