1012534152 has 256 divisors, whose sum is σ = 3185049600. Its totient is φ = 261930240.

The previous prime is 1012534151. The next prime is 1012534153. The reversal of 1012534152 is 2514352101.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1012534151) and next prime (1012534153).

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

It is not an unprimeable number, because it can be changed into a prime (1012534151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9462883 + ... + 9462989.

It is an arithmetic number, because the mean of its divisors is an integer number (12441600).

Almost surely, 2^1012534152 is an apocalyptic number.

1012534152 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 1012534152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1592524800).

1012534152 is an abundant number, since it is smaller than the sum of its proper divisors (2172515448).

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

1012534152 is a wasteful number, since it uses less digits than its factorization.

1012534152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 1012534152 is about 31820.3417957759. The cubic root of 1012534152 is about 1004.1607151070.

Adding to 1012534152 its reverse (2514352101), we get a palindrome (3526886253).

The spelling of 1012534152 in words is "one billion, twelve million, five hundred thirty-four thousand, one hundred fifty-two".