1353605248 has 32 divisors (see below), whose sum is σ = 2698920000. Its totient is φ = 676229376.

The previous prime is 1353605237. The next prime is 1353605261. The reversal of 1353605248 is 8425063531.

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 175293 + ... + 182851.

It is an arithmetic number, because the mean of its divisors is an integer number (84341250).

Almost surely, 2^1353605248 is an apocalyptic number.

It is an amenable number.

1353605248 is a deficient number, since it is larger than the sum of its proper divisors (1345314752).

1353605248 is an equidigital number, since it uses as much as digits as its factorization.

1353605248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8972 (or 8960 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 37.

The square root of 1353605248 is about 36791.3746413477. The cubic root of 1353605248 is about 1106.1924156222.

Adding to 1353605248 its reverse (8425063531), we get a palindrome (9778668779).

It can be divided in two parts, 135360 and 5248, that added together give a cube (140608 = 52³).

The spelling of 1353605248 in words is "one billion, three hundred fifty-three million, six hundred five thousand, two hundred forty-eight".