253717323717352 has 64 divisors (see below), whose sum is σ = 527866826011200. Its totient is φ = 113349140160000.

The previous prime is 253717323717343. The next prime is 253717323717421.

253717323717352 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21694452 + ... + 31274332.

It is an arithmetic number, because the mean of its divisors is an integer number (8247919156425).

Almost surely, 2^{253717323717352} is an apocalyptic number.

253717323717352 is a gapful number since it is divisible by the number (22) 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 253717323717352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263933413005600).

253717323717352 is an abundant number, since it is smaller than the sum of its proper divisors (274149502293848).

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

253717323717352 is a wasteful number, since it uses less digits than its factorization.

253717323717352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9585058 (or 9585054 counting only the distinct ones).

The product of its digits is 38896200, while the sum is 58.

The spelling of 253717323717352 in words is "two hundred fifty-three trillion, seven hundred seventeen billion, three hundred twenty-three million, seven hundred seventeen thousand, three hundred fifty-two".