1012275264 has 448 divisors, whose sum is σ = 3768791040. Its totient is φ = 231137280.

The previous prime is 1012275263. The next prime is 1012275301. The reversal of 1012275264 is 4625722101.

It is a tau number, because it is divible by the number of its divisors (448).

It is not an unprimeable number, because it can be changed into a prime (1012275263) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 4420302 + ... + 4420530.

It is an arithmetic number, because the mean of its divisors is an integer number (8412480).

Almost surely, 2^1012275264 is an apocalyptic number.

1012275264 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 1012275264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1884395520).

1012275264 is an abundant number, since it is smaller than the sum of its proper divisors (2756515776).

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

1012275264 is a wasteful number, since it uses less digits than its factorization.

1012275264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 1012275264 is about 31816.2735718688. The cubic root of 1012275264 is about 1004.0751254611.

Adding to 1012275264 its reverse (4625722101), we get a palindrome (5637997365).

It can be divided in two parts, 101227 and 5264, that added together give a triangular number (106491 = T₄₆₁).

The spelling of 1012275264 in words is "one billion, twelve million, two hundred seventy-five thousand, two hundred sixty-four".