253434113540 has 48 divisors (see below), whose sum is σ = 538645690800. Its totient is φ = 100151795712.

The previous prime is 253434113497. The next prime is 253434113557. The reversal of 253434113540 is 45311434352.

It can be written as a sum of positive squares in 8 ways, for example, as 19876488256 + 233557625284 = 140984^2 + 483278^2 .

It is a super-3 number, since 3×253434113540³ (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 253434113540.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 989066 + ... + 1218654.

It is an arithmetic number, because the mean of its divisors is an integer number (11221785225).

Almost surely, 2^253434113540 is an apocalyptic number.

253434113540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

253434113540 is an abundant number, since it is smaller than the sum of its proper divisors (285211577260).

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

253434113540 is a wasteful number, since it uses less digits than its factorization.

253434113540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230264 (or 230262 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 35.

Adding to 253434113540 its reverse (45311434352), we get a palindrome (298745547892).

The spelling of 253434113540 in words is "two hundred fifty-three billion, four hundred thirty-four million, one hundred thirteen thousand, five hundred forty".