1256153600 has 120 divisors (see below), whose sum is σ = 3352064100. Its totient is φ = 463749120.

The previous prime is 1256153597. The next prime is 1256153603. The reversal of 1256153600 is 63516521.

It is an interprime number because it is at equal distance from previous prime (1256153597) and next prime (1256153603).

It can be written as a sum of positive squares in 6 ways, for example, as 438651136 + 817502464 = 20944^2 + 28592^2 .

It is not an unprimeable number, because it can be changed into a prime (1256153603) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 162626 + ... + 170174.

Almost surely, 2^1256153600 is an apocalyptic number.

1256153600 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 1256153600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1676032050).

1256153600 is an abundant number, since it is smaller than the sum of its proper divisors (2095910500).

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

1256153600 is an equidigital number, since it uses as much as digits as its factorization.

1256153600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7590 (or 7569 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 29.

The square root of 1256153600 is about 35442.2572644576. The cubic root of 1256153600 is about 1078.9821228209.

The spelling of 1256153600 in words is "one billion, two hundred fifty-six million, one hundred fifty-three thousand, six hundred".