253141056 has 126 divisors (see below), whose sum is σ = 844139790. Its totient is φ = 72317952.

The previous prime is 253141051. The next prime is 253141061. The reversal of 253141056 is 650141352.

It is an interprime number because it is at equal distance from previous prime (253141051) and next prime (253141061).

It can be written as a sum of positive squares in only one way, i.e., 218566656 + 34574400 = 14784^2 + 5880^2 .

It is a tau number, because it is divible by the number of its divisors (126).

It is not an unprimeable number, because it can be changed into a prime (253141051) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 23740 + ... + 32708.

Almost surely, 2^253141056 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 253141056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422069895).

253141056 is an abundant number, since it is smaller than the sum of its proper divisors (590998734).

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

253141056 is a wasteful number, since it uses less digits than its factorization.

253141056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9001 (or 8981 counting only the distinct ones).

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

The square root of 253141056 is about 15910.4071600949. The cubic root of 253141056 is about 632.5878736613.

The spelling of 253141056 in words is "two hundred fifty-three million, one hundred forty-one thousand, fifty-six".