1253345110200 has 144 divisors (see below), whose sum is σ = 4226763621600. Its totient is φ = 332826816000.

The previous prime is 1253345110169. The next prime is 1253345110207. The reversal of 1253345110200 is 20115433521.

1253345110200 is a `hidden beast` number, since 1 + 2 + 5 + 3 + 3 + 451 + 1 + 0 + 200 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1253345110207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1026501 + ... + 1886900.

It is an arithmetic number, because the mean of its divisors is an integer number (29352525150).

Almost surely, 2^{1253345110200} is an apocalyptic number.

1253345110200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1253345110200 is an abundant number, since it is smaller than the sum of its proper divisors (2973418511400).

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

1253345110200 is a wasteful number, since it uses less digits than its factorization.

1253345110200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2913662 (or 2913650 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The spelling of 1253345110200 in words is "one trillion, two hundred fifty-three billion, three hundred forty-five million, one hundred ten thousand, two hundred".