1451500313256 has 384 divisors, whose sum is σ = 4996820275200. Its totient is φ = 370868889600.

The previous prime is 1451500313243. The next prime is 1451500313257. The reversal of 1451500313256 is 6523130051541.

1451500313256 is a `hidden beast` number, since 1 + 4 + 515 + 0 + 0 + 3 + 132 + 5 + 6 = 666.

It is a super-2 number, since 2×1451500313256² (a number of 25 digits) 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 1451500313256.

It is not an unprimeable number, because it can be changed into a prime (1451500313257) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 29732275 + ... + 29781053.

It is an arithmetic number, because the mean of its divisors is an integer number (13012552800).

Almost surely, 2^{1451500313256} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1451500313256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2498410137600).

1451500313256 is an abundant number, since it is smaller than the sum of its proper divisors (3545319961944).

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

1451500313256 is a wasteful number, since it uses less digits than its factorization.

1451500313256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48989 (or 48982 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

Adding to 1451500313256 its reverse (6523130051541), we get a palindrome (7974630364797).

The spelling of 1451500313256 in words is "one trillion, four hundred fifty-one billion, five hundred million, three hundred thirteen thousand, two hundred fifty-six".