248041521 has 56 divisors (see below), whose sum is σ = 457835840. Its totient is φ = 130800096.

The previous prime is 248041489. The next prime is 248041529. The reversal of 248041521 is 125140842.

248041521 is a `hidden beast` number, since 24 + 80 + 41 + 521 = 666.

It is not a de Polignac number, because 248041521 - 2⁵ = 248041489 is a prime.

It is a super-2 number, since 2×248041521² = 123049192279986882, which contains 22 as substring.

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 (248041529) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 64470 + ... + 68208.

It is an arithmetic number, because the mean of its divisors is an integer number (8175640).

Almost surely, 2^248041521 is an apocalyptic number.

248041521 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

248041521 is a deficient number, since it is larger than the sum of its proper divisors (209794319).

248041521 is an equidigital number, since it uses as much as digits as its factorization.

248041521 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3777 (or 3762 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 248041521 is about 15749.3339859183. Note that the first 3 decimals coincide. The cubic root of 248041521 is about 628.3111912276.

The spelling of 248041521 in words is "two hundred forty-eight million, forty-one thousand, five hundred twenty-one".