1253134600 has 96 divisors (see below), whose sum is σ = 3104801280. Its totient is φ = 468730880.

The previous prime is 1253134579. The next prime is 1253134621. The reversal of 1253134600 is 64313521.

It is an interprime number because it is at equal distance from previous prime (1253134579) and next prime (1253134621).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 566697 + ... + 568903.

It is an arithmetic number, because the mean of its divisors is an integer number (32341680).

Almost surely, 2^1253134600 is an apocalyptic number.

1253134600 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 1253134600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1552400640).

1253134600 is an abundant number, since it is smaller than the sum of its proper divisors (1851666680).

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

1253134600 is a wasteful number, since it uses less digits than its factorization.

1253134600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2407 (or 2398 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 25.

The square root of 1253134600 is about 35399.6412411199. The cubic root of 1253134600 is about 1078.1170321892.

The spelling of 1253134600 in words is "one billion, two hundred fifty-three million, one hundred thirty-four thousand, six hundred".