255356101000 has 576 divisors, whose sum is σ = 823043697840. Its totient is φ = 73446912000.

The previous prime is 255356100977. The next prime is 255356101001. The reversal of 255356101000 is 101653552.

It can be written as a sum of positive squares in 8 ways, for example, as 14170997764 + 241185103236 = 119042^2 + 491106^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 255356101000.

It is not an unprimeable number, because it can be changed into a prime (255356101001) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 77075344 + ... + 77078656.

Almost surely, 2^255356101000 is an apocalyptic number.

255356101000 is a gapful number since it is divisible by the number (20) 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 255356101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411521848920).

255356101000 is an abundant number, since it is smaller than the sum of its proper divisors (567687596840).

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

255356101000 is a wasteful number, since it uses less digits than its factorization.

255356101000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3383 (or 3351 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 28.

Adding to 255356101000 its reverse (101653552), we get a palindrome (255457754552).

The spelling of 255356101000 in words is "two hundred fifty-five billion, three hundred fifty-six million, one hundred one thousand".