1000255520 has 192 divisors, whose sum is σ = 2764927872. Its totient is φ = 337920000.

The previous prime is 1000255511. The next prime is 1000255523. The reversal of 1000255520 is 255520001.

It is a super-2 number, since 2×1000255520² = 2001022210580940800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1000255492 and 1000255501.

It is not an unprimeable number, because it can be changed into a prime (1000255523) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3021755 + ... + 3022085.

It is an arithmetic number, because the mean of its divisors is an integer number (14400666).

Almost surely, 2^1000255520 is an apocalyptic number.

1000255520 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 1000255520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1382463936).

1000255520 is an abundant number, since it is smaller than the sum of its proper divisors (1764672352).

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

1000255520 is a wasteful number, since it uses less digits than its factorization.

1000255520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 475 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 500, while the sum is 20.

The square root of 1000255520 is about 31626.8164695721. The cubic root of 1000255520 is about 1000.0851660799.

Adding to 1000255520 its reverse (255520001), we get a palindrome (1255775521).

The spelling of 1000255520 in words is "one billion, two hundred fifty-five thousand, five hundred twenty".