255531032100 has 180 divisors, whose sum is σ = 856894569300. Its totient is φ = 65791837440.

The previous prime is 255531032083. The next prime is 255531032101. The reversal of 255531032100 is 1230135552.

It is a happy number.

255531032100 is a `hidden beast` number, since 2 + 5 + 553 + 1 + 0 + 3 + 2 + 100 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 52447412196 + 203083619904 = 229014^2 + 450648^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×255531032100² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (255531032101) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 309015 + ... + 778814.

It is an arithmetic number, because the mean of its divisors is an integer number (4760525385).

Almost surely, 2^255531032100 is an apocalyptic number.

255531032100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

255531032100 is an abundant number, since it is smaller than the sum of its proper divisors (601363537200).

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

255531032100 is a wasteful number, since it uses less digits than its factorization.

255531032100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1087884 (or 1087868 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

Adding to 255531032100 its reverse (1230135552), we get a palindrome (256761167652).

The spelling of 255531032100 in words is "two hundred fifty-five billion, five hundred thirty-one million, thirty-two thousand, one hundred".