1053248508 has 288 divisors, whose sum is σ = 3236163840. Its totient is φ = 296732160.

The previous prime is 1053248507. The next prime is 1053248531. The reversal of 1053248508 is 8058423501.

It is a happy number.

1053248508 is a `hidden beast` number, since 105 + 3 + 2 + 48 + 508 = 666.

It is a super-2 number, since 2×1053248508² = 2218664839208452128, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1053248501) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9843391 + ... + 9843497.

It is an arithmetic number, because the mean of its divisors is an integer number (11236680).

Almost surely, 2^1053248508 is an apocalyptic number.

1053248508 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 1053248508, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1618081920).

1053248508 is an abundant number, since it is smaller than the sum of its proper divisors (2182915332).

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

1053248508 is a wasteful number, since it uses less digits than its factorization.

1053248508 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 1053248508 is about 32453.7903487405. The cubic root of 1053248508 is about 1017.4434591992.

The spelling of 1053248508 in words is "one billion, fifty-three million, two hundred forty-eight thousand, five hundred eight".