1253512800 has 288 divisors, whose sum is σ = 4578456960. Its totient is φ = 330969600.

The previous prime is 1253512789. The next prime is 1253512853. The reversal of 1253512800 is 82153521.

It is a happy number.

1253512800 is a `hidden beast` number, since 1 + 2 + 535 + 128 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2829379 + ... + 2829821.

It is an arithmetic number, because the mean of its divisors is an integer number (15897420).

Almost surely, 2^1253512800 is an apocalyptic number.

1253512800 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 1253512800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2289228480).

1253512800 is an abundant number, since it is smaller than the sum of its proper divisors (3324944160).

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

1253512800 is a wasteful number, since it uses less digits than its factorization.

1253512800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 603 (or 584 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 1253512800 is about 35404.9827001794. The cubic root of 1253512800 is about 1078.2254809941.

The spelling of 1253512800 in words is "one billion, two hundred fifty-three million, five hundred twelve thousand, eight hundred".