271513242 has 128 divisors (see below), whose sum is σ = 810270720. Its totient is φ = 65085120.

The previous prime is 271513237. The next prime is 271513247. The reversal of 271513242 is 242315172.

It is an interprime number because it is at equal distance from previous prime (271513237) and next prime (271513247).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (271513247) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 51543 + ... + 56565.

It is an arithmetic number, because the mean of its divisors is an integer number (6330240).

Almost surely, 2^271513242 is an apocalyptic number.

271513242 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 271513242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405135360).

271513242 is an abundant number, since it is smaller than the sum of its proper divisors (538757478).

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

271513242 is a wasteful number, since it uses less digits than its factorization.

271513242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5065 (or 5059 counting only the distinct ones).

The product of its digits is 3360, while the sum is 27.

The square root of 271513242 is about 16477.6588749737. The cubic root of 271513242 is about 647.5356326698.

The spelling of 271513242 in words is "two hundred seventy-one million, five hundred thirteen thousand, two hundred forty-two".