1052265456 has 240 divisors, whose sum is σ = 3551558400. Its totient is φ = 286894080.

The previous prime is 1052265449. The next prime is 1052265463. The reversal of 1052265456 is 6545622501.

1052265456 is a `hidden beast` number, since 105 + 2 + 2 + 6 + 545 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (1052265449) and next prime (1052265463).

It is a super-2 number, since 2×1052265456² = 2214525179781775872, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1052265456.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 618495 + ... + 620193.

It is an arithmetic number, because the mean of its divisors is an integer number (14798160).

Almost surely, 2^1052265456 is an apocalyptic number.

1052265456 is a gapful number since it is divisible by the number (16) 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 1052265456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1775779200).

1052265456 is an abundant number, since it is smaller than the sum of its proper divisors (2499292944).

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

1052265456 is a wasteful number, since it uses less digits than its factorization.

1052265456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1764 (or 1755 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The square root of 1052265456 is about 32438.6414018836. The cubic root of 1052265456 is about 1017.1268162415.

Adding to 1052265456 its reverse (6545622501), we get a palindrome (7597887957).

The spelling of 1052265456 in words is "one billion, fifty-two million, two hundred sixty-five thousand, four hundred fifty-six".