1011253248 has 192 divisors, whose sum is σ = 3053406720. Its totient is φ = 334430208.

The previous prime is 1011253219. The next prime is 1011253261. The reversal of 1011253248 is 8423521101.

1011253248 is a `hidden beast` number, since 10 + 112 + 532 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7962561 + ... + 7962687.

It is an arithmetic number, because the mean of its divisors is an integer number (15903160).

Almost surely, 2^1011253248 is an apocalyptic number.

1011253248 is a gapful number since it is divisible by the number (18) 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 1011253248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1526703360).

1011253248 is an abundant number, since it is smaller than the sum of its proper divisors (2042153472).

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

1011253248 is an frugal number, since it uses more digits than its factorization.

1011253248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 1011253248 is about 31800.2083012046. The cubic root of 1011253248 is about 1003.7370993577.

Adding to 1011253248 its reverse (8423521101), we get a palindrome (9434774349).

The spelling of 1011253248 in words is "one billion, eleven million, two hundred fifty-three thousand, two hundred forty-eight".