1256252160 has 216 divisors, whose sum is σ = 4165958160. Its totient is φ = 322617344.

The previous prime is 1256252149. The next prime is 1256252171. The reversal of 1256252160 is 612526521.

It is an interprime number because it is at equal distance from previous prime (1256252149) and next prime (1256252171).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3229246 + ... + 3229634.

Almost surely, 2^1256252160 is an apocalyptic number.

1256252160 is a gapful number since it is divisible by the number (10) 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 1256252160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2082979080).

1256252160 is an abundant number, since it is smaller than the sum of its proper divisors (2909706000).

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

1256252160 is an equidigital number, since it uses as much as digits as its factorization.

1256252160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471 (or 428 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The square root of 1256252160 is about 35443.6476678121. The cubic root of 1256252160 is about 1079.0103416886.

Adding to 1256252160 its reverse (612526521), we get a palindrome (1868778681).

The spelling of 1256252160 in words is "one billion, two hundred fifty-six million, two hundred fifty-two thousand, one hundred sixty".