1253305075 has 48 divisors (see below), whose sum is σ = 1862380800. Its totient is φ = 825897600.

The previous prime is 1253305069. The next prime is 1253305103. The reversal of 1253305075 is 5705033521.

It is not a de Polignac number, because 1253305075 - 2⁵ = 1253305043 is a prime.

It is a super-2 number, since 2×1253305075² = 3141547222041511250, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 114961 + ... + 125389.

It is an arithmetic number, because the mean of its divisors is an integer number (38799600).

Almost surely, 2^1253305075 is an apocalyptic number.

1253305075 is a deficient number, since it is larger than the sum of its proper divisors (609075725).

1253305075 is a wasteful number, since it uses less digits than its factorization.

1253305075 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10492 (or 10487 counting only the distinct ones).

The product of its (nonzero) digits is 15750, while the sum is 31.

The square root of 1253305075 is about 35402.0490226201. The cubic root of 1253305075 is about 1078.1659185758.

Adding to 1253305075 its reverse (5705033521), we get a palindrome (6958338596).

The spelling of 1253305075 in words is "one billion, two hundred fifty-three million, three hundred five thousand, seventy-five".