1286252352 has 336 divisors, whose sum is σ = 4802063040. Its totient is φ = 333849600.

The previous prime is 1286252347. The next prime is 1286252377. The reversal of 1286252352 is 2532526821.

It is a happy number.

1286252352 is a `hidden beast` number, since 1 + 2 + 8 + 625 + 23 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×1286252352² = 3308890226051063808, which contains 22 as substring.

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

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, 930702 + ... + 932082.

Almost surely, 2^1286252352 is an apocalyptic number.

1286252352 is a gapful number since it is divisible by the number (12) 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 1286252352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2401031520).

1286252352 is an abundant number, since it is smaller than the sum of its proper divisors (3515810688).

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

1286252352 is a wasteful number, since it uses less digits than its factorization.

1286252352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1427 (or 1404 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 1286252352 is about 35864.3604710861. The cubic root of 1286252352 is about 1087.5320399597.

The spelling of 1286252352 in words is "one billion, two hundred eighty-six million, two hundred fifty-two thousand, three hundred fifty-two".