1012317264 has 300 divisors, whose sum is σ = 3591957600. Its totient is φ = 273684096.

The previous prime is 1012317247. The next prime is 1012317277. The reversal of 1012317264 is 4627132101.

1012317264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1206157 + ... + 1206995.

It is an arithmetic number, because the mean of its divisors is an integer number (11973192).

Almost surely, 2^1012317264 is an apocalyptic number.

1012317264 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 1012317264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1795978800).

1012317264 is an abundant number, since it is smaller than the sum of its proper divisors (2579640336).

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

1012317264 is a wasteful number, since it uses less digits than its factorization.

1012317264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 892 (or 870 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 1012317264 is about 31816.9336046075. The cubic root of 1012317264 is about 1004.0890118592.

Adding to 1012317264 its reverse (4627132101), we get a palindrome (5639449365).

The spelling of 1012317264 in words is "one billion, twelve million, three hundred seventeen thousand, two hundred sixty-four".