253540410045200 has 30 divisors (see below), whose sum is σ = 609130835134554. Its totient is φ = 101416164017920.

The previous prime is 253540410045193. The next prime is 253540410045203. The reversal of 253540410045200 is 2540014045352.

It can be written as a sum of positive squares in 3 ways, for example, as 23702449936 + 253516707595264 = 153956^2 + 15922208^2 .

It is not an unprimeable number, because it can be changed into a prime (253540410045203) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 316925512157 + ... + 316925512956.

Almost surely, 2^{253540410045200} is an apocalyptic number.

253540410045200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

253540410045200 is an abundant number, since it is smaller than the sum of its proper divisors (355590425089354).

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

253540410045200 is a wasteful number, since it uses less digits than its factorization.

253540410045200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 633851025131 (or 633851025120 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 35.

The spelling of 253540410045200 in words is "two hundred fifty-three trillion, five hundred forty billion, four hundred ten million, forty-five thousand, two hundred".