1535991552 has 144 divisors (see below), whose sum is σ = 4562208000. Its totient is φ = 509746176.

The previous prime is 1535991539. The next prime is 1535991553. The reversal of 1535991552 is 2551995351.

1535991552 is a `hidden beast` number, since 1 + 5 + 3 + 5 + 9 + 91 + 552 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 1535991498 and 1535991507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1535991553) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2481099 + ... + 2481717.

It is an arithmetic number, because the mean of its divisors is an integer number (31682000).

Almost surely, 2^1535991552 is an apocalyptic number.

1535991552 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 1535991552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2281104000).

1535991552 is an abundant number, since it is smaller than the sum of its proper divisors (3026216448).

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

1535991552 is an equidigital number, since it uses as much as digits as its factorization.

1535991552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1003 (or 983 counting only the distinct ones).

The product of its digits is 303750, while the sum is 45.

The square root of 1535991552 is about 39191.7281068340. The cubic root of 1535991552 is about 1153.7975409427.

The spelling of 1535991552 in words is "one billion, five hundred thirty-five million, nine hundred ninety-one thousand, five hundred fifty-two".