1011253320 has 288 divisors, whose sum is σ = 4119111360. Its totient is φ = 209030400.

The previous prime is 1011253291. The next prime is 1011253337. The reversal of 1011253320 is 233521101.

1011253320 is a `hidden beast` number, since 1 + 0 + 112 + 533 + 20 = 666.

It is a super-2 number, since 2×1011253320² = 2045266554422044800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1011253293 and 1011253302.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5294425 + ... + 5294615.

It is an arithmetic number, because the mean of its divisors is an integer number (14302470).

Almost surely, 2^1011253320 is an apocalyptic number.

1011253320 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 1011253320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2059555680).

1011253320 is an abundant number, since it is smaller than the sum of its proper divisors (3107858040).

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

1011253320 is a wasteful number, since it uses less digits than its factorization.

1011253320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 1011253320 is about 31800.2094332726. The cubic root of 1011253320 is about 1003.7371231793.

Adding to 1011253320 its reverse (233521101), we get a palindrome (1244774421).

The spelling of 1011253320 in words is "one billion, eleven million, two hundred fifty-three thousand, three hundred twenty".