1513152 has 84 divisors (see below), whose sum is σ = 4517136. Its totient is φ = 483840.

The previous prime is 1513151. The next prime is 1513159. The reversal of 1513152 is 2513151.

1513152 is a `hidden beast` number, since 1 + 513 + 152 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (1513151) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21277 + ... + 21347.

2^1513152 is an apocalyptic number.

1513152 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 1513152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2258568).

1513152 is an abundant number, since it is smaller than the sum of its proper divisors (3003984).

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

1513152 is a wasteful number, since it uses less digits than its factorization.

1513152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 113 counting only the distinct ones).

The product of its digits is 150, while the sum is 18.

The square root of 1513152 is about 1230.1024347590. The cubic root of 1513152 is about 114.8050129940.

Subtracting 1513152 from its reverse (2513151), we obtain a palindrome (999999).

The spelling of 1513152 in words is "one million, five hundred thirteen thousand, one hundred fifty-two".