1253299248 has 120 divisors (see below), whose sum is σ = 3639767040. Its totient is φ = 402157440.

The previous prime is 1253299241. The next prime is 1253299249. The reversal of 1253299248 is 8429923521.

1253299248 is a `hidden beast` number, since 1 + 2 + 532 + 99 + 24 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1253299241) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 994843 + ... + 996101.

It is an arithmetic number, because the mean of its divisors is an integer number (30331392).

Almost surely, 2^1253299248 is an apocalyptic number.

1253299248 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 1253299248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1819883520).

1253299248 is an abundant number, since it is smaller than the sum of its proper divisors (2386467792).

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

1253299248 is a wasteful number, since it uses less digits than its factorization.

1253299248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1527 (or 1518 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The square root of 1253299248 is about 35401.9667250281. The cubic root of 1253299248 is about 1078.1642476651.

The spelling of 1253299248 in words is "one billion, two hundred fifty-three million, two hundred ninety-nine thousand, two hundred forty-eight".