252919548 has 72 divisors (see below), whose sum is σ = 743084160. Its totient is φ = 71033760.

The previous prime is 252919543. The next prime is 252919553. The reversal of 252919548 is 845919252.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (252919543) and next prime (252919553).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252919543) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6363 + ... + 23373.

Almost surely, 2^252919548 is an apocalyptic number.

252919548 is a gapful number since it is divisible by the number (28) 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 252919548, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371542080).

252919548 is an abundant number, since it is smaller than the sum of its proper divisors (490164612).

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

252919548 is a wasteful number, since it uses less digits than its factorization.

252919548 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17087 (or 17082 counting only the distinct ones).

The product of its digits is 259200, while the sum is 45.

The square root of 252919548 is about 15903.4445325533. Note that the first 3 decimals coincide. The cubic root of 252919548 is about 632.4033070434.

The spelling of 252919548 in words is "two hundred fifty-two million, nine hundred nineteen thousand, five hundred forty-eight".