1051215264 has 288 divisors, whose sum is σ = 3502699200. Its totient is φ = 295526400.

The previous prime is 1051215241. The next prime is 1051215283. The reversal of 1051215264 is 4625121501.

1051215264 is a `hidden beast` number, since 10 + 5 + 121 + 526 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×1051215264² = 2210107062533179392, which contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 7055062 + ... + 7055210.

It is an arithmetic number, because the mean of its divisors is an integer number (12162150).

Almost surely, 2^1051215264 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 1051215264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1751349600).

1051215264 is an abundant number, since it is smaller than the sum of its proper divisors (2451483936).

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

1051215264 is a wasteful number, since it uses less digits than its factorization.

1051215264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 1051215264 is about 32422.4499999614. The cubic root of 1051215264 is about 1016.7883294099.

Adding to 1051215264 its reverse (4625121501), we get a palindrome (5676336765).

The spelling of 1051215264 in words is "one billion, fifty-one million, two hundred fifteen thousand, two hundred sixty-four".