248553536 has 112 divisors (see below), whose sum is σ = 635154432. Its totient is φ = 93657600.

The previous prime is 248553533. The next prime is 248553541. The reversal of 248553536 is 635355842.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 248553493 and 248553502.

It is not an unprimeable number, because it can be changed into a prime (248553533) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 151955 + ... + 153581.

Almost surely, 2^248553536 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 248553536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317577216).

248553536 is an abundant number, since it is smaller than the sum of its proper divisors (386600896).

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

248553536 is a wasteful number, since it uses less digits than its factorization.

248553536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1688 (or 1678 counting only the distinct ones).

The product of its digits is 432000, while the sum is 41.

The square root of 248553536 is about 15765.5807377971. The cubic root of 248553536 is about 628.7432205765.

The spelling of 248553536 in words is "two hundred forty-eight million, five hundred fifty-three thousand, five hundred thirty-six".