1253265600 has 168 divisors, whose sum is σ = 4136306688. Its totient is φ = 332211200.

The previous prime is 1253265599. The next prime is 1253265617. The reversal of 1253265600 is 65623521.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 916117 + ... + 917483.

Almost surely, 2^1253265600 is an apocalyptic number.

1253265600 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 1253265600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2068153344).

1253265600 is an abundant number, since it is smaller than the sum of its proper divisors (2883041088).

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

1253265600 is a wasteful number, since it uses less digits than its factorization.

1253265600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1583 (or 1568 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The square root of 1253265600 is about 35401.4914940035. The cubic root of 1253265600 is about 1078.1545988933.

The spelling of 1253265600 in words is "one billion, two hundred fifty-three million, two hundred sixty-five thousand, six hundred".