1531552 has 48 divisors (see below), whose sum is σ = 3477600. Its totient is φ = 656640.

The previous prime is 1531549. The next prime is 1531561. The reversal of 1531552 is 2551351.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6574 + ... + 6802.

It is an arithmetic number, because the mean of its divisors is an integer number (72450).

2^1531552 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 1531552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1738800).

1531552 is an abundant number, since it is smaller than the sum of its proper divisors (1946048).

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

1531552 is a wasteful number, since it uses less digits than its factorization.

1531552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 261 counting only the distinct ones).

The product of its digits is 750, while the sum is 22.

The square root of 1531552 is about 1237.5588874878. The cubic root of 1531552 is about 115.2684842279.

The spelling of 1531552 in words is "one million, five hundred thirty-one thousand, five hundred fifty-two".