1152525120 has 112 divisors (see below), whose sum is σ = 3673693440. Its totient is φ = 306128896.

The previous prime is 1152525109. The next prime is 1152525131. The reversal of 1152525120 is 215252511.

It is an interprime number because it is at equal distance from previous prime (1152525109) and next prime (1152525131).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 256009 + ... + 260471.

Almost surely, 2^1152525120 is an apocalyptic number.

1152525120 is a gapful number since it is divisible by the number (10) 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 1152525120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1836846720).

1152525120 is an abundant number, since it is smaller than the sum of its proper divisors (2521168320).

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

1152525120 is a wasteful number, since it uses less digits than its factorization.

1152525120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4752 (or 4742 counting only the distinct ones).

The product of its (nonzero) digits is 1000, while the sum is 24.

The square root of 1152525120 is about 33948.8603637884. The cubic root of 1152525120 is about 1048.4558163256.

Adding to 1152525120 its reverse (215252511), we get a palindrome (1367777631).

The spelling of 1152525120 in words is "one billion, one hundred fifty-two million, five hundred twenty-five thousand, one hundred twenty".