253134509370368 has 264 divisors, whose sum is σ = 528720655628880. Its totient is φ = 121118876467200.

The previous prime is 253134509370331. The next prime is 253134509370373. The reversal of 253134509370368 is 863073905431352.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61247157230 + ... + 61247161362.

It is an arithmetic number, because the mean of its divisors is an integer number (2002729756170).

It is a 2-persistent number, because it is pandigital, and so is 2⋅253134509370368 = 506269018740736, but 3⋅253134509370368 = 759403528111104 is not.

Almost surely, 2^{253134509370368} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 253134509370368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264360327814440).

253134509370368 is an abundant number, since it is smaller than the sum of its proper divisors (275586146258512).

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

253134509370368 is a wasteful number, since it uses less digits than its factorization.

253134509370368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4895 (or 4846 counting only the distinct ones).

The product of its (nonzero) digits is 48988800, while the sum is 59.

The spelling of 253134509370368 in words is "two hundred fifty-three trillion, one hundred thirty-four billion, five hundred nine million, three hundred seventy thousand, three hundred sixty-eight".