1012552464 has 160 divisors (see below), whose sum is σ = 3328358400. Its totient is φ = 262953600.

The previous prime is 1012552459. The next prime is 1012552477. The reversal of 1012552464 is 4642552101.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 178309 + ... + 183899.

It is an arithmetic number, because the mean of its divisors is an integer number (20802240).

Almost surely, 2^1012552464 is an apocalyptic number.

1012552464 is a gapful number since it is divisible by the number (14) 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 1012552464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1664179200).

1012552464 is an abundant number, since it is smaller than the sum of its proper divisors (2315805936).

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

1012552464 is a wasteful number, since it uses less digits than its factorization.

1012552464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5634 (or 5614 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 1012552464 is about 31820.6295349416. The cubic root of 1012552464 is about 1004.1667685917.

The spelling of 1012552464 in words is "one billion, twelve million, five hundred fifty-two thousand, four hundred sixty-four".