1253001800 has 36 divisors (see below), whose sum is σ = 2914393545. Its totient is φ = 501000480.

The previous prime is 1253001727. The next prime is 1253001809. The reversal of 1253001800 is 81003521.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 1227941764 + 25060036 = 35042^2 + 5006^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=25030.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (1253001809) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 499349 + ... + 501851.

Almost surely, 2^1253001800 is an apocalyptic number.

1253001800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1253001800 is an abundant number, since it is smaller than the sum of its proper divisors (1661391745).

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

1253001800 is an frugal number, since it uses more digits than its factorization.

1253001800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5022 (or 2510 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

The square root of 1253001800 is about 35397.7654661986. The cubic root of 1253001800 is about 1078.0789466290.

The spelling of 1253001800 in words is "one billion, two hundred fifty-three million, one thousand, eight hundred".