1256514413000 has 1024 divisors, whose sum is σ = 3992539299840. Its totient is φ = 358732800000.

The previous prime is 1256514412999. The next prime is 1256514413039. The reversal of 1256514413000 is 3144156521.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 3621078827 + ... + 3621079173.

It is an arithmetic number, because the mean of its divisors is an integer number (3898964160).

Almost surely, 2^{1256514413000} is an apocalyptic number.

1256514413000 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 1256514413000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1996269649920).

1256514413000 is an abundant number, since it is smaller than the sum of its proper divisors (2736024886840).

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

1256514413000 is a wasteful number, since it uses less digits than its factorization.

1256514413000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 495 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 32.

Adding to 1256514413000 its reverse (3144156521), we get a palindrome (1259658569521).

The spelling of 1256514413000 in words is "one trillion, two hundred fifty-six billion, five hundred fourteen million, four hundred thirteen thousand".