256527300275652 has 192 divisors, whose sum is σ = 699395504783360. Its totient is φ = 71668082876544.

The previous prime is 256527300275621. The next prime is 256527300275657. The reversal of 256527300275652 is 256572003725652.

It is a junction number, because it is equal to n+sod(n) for n = 256527300275592 and 256527300275601.

It is not an unprimeable number, because it can be changed into a prime (256527300275657) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5290616553 + ... + 5290665039.

Almost surely, 2^{256527300275652} 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 256527300275652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349697752391680).

256527300275652 is an abundant number, since it is smaller than the sum of its proper divisors (442868204507708).

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

256527300275652 is a wasteful number, since it uses less digits than its factorization.

256527300275652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55470 (or 55468 counting only the distinct ones).

The product of its (nonzero) digits is 52920000, while the sum is 57.

The spelling of 256527300275652 in words is "two hundred fifty-six trillion, five hundred twenty-seven billion, three hundred million, two hundred seventy-five thousand, six hundred fifty-two".