1014051264 has 56 divisors (see below), whose sum is σ = 2698607760. Its totient is φ = 336052224.

The previous prime is 1014051257. The next prime is 1014051271. The reversal of 1014051264 is 4621504101.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1014051257) and next prime (1014051271).

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

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17952 + ... + 48480.

Almost surely, 2^1014051264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1014051264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1349303880).

1014051264 is an abundant number, since it is smaller than the sum of its proper divisors (1684556496).

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

1014051264 is a wasteful number, since it uses less digits than its factorization.

1014051264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30717 (or 30707 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 1014051264 is about 31844.1715860218. The cubic root of 1014051264 is about 1004.6619867713.

Adding to 1014051264 its reverse (4621504101), we get a palindrome (5635555365).

The spelling of 1014051264 in words is "one billion, fourteen million, fifty-one thousand, two hundred sixty-four".