1285628553 has 48 divisors (see below), whose sum is σ = 2190779136. Its totient is φ = 717688320.

The previous prime is 1285628543. The next prime is 1285628557. The reversal of 1285628553 is 3558265821.

1285628553 is a `hidden beast` number, since 1 + 2 + 8 + 562 + 85 + 5 + 3 = 666.

It is not a de Polignac number, because 1285628553 - 2⁸ = 1285628297 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1285628499 and 1285628508.

It is not an unprimeable number, because it can be changed into a prime (1285628557) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 70975 + ... + 87227.

It is an arithmetic number, because the mean of its divisors is an integer number (45641232).

Almost surely, 2^1285628553 is an apocalyptic number.

It is an amenable number.

1285628553 is a deficient number, since it is larger than the sum of its proper divisors (905150583).

1285628553 is a wasteful number, since it uses less digits than its factorization.

1285628553 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16334 (or 16331 counting only the distinct ones).

The product of its digits is 576000, while the sum is 45.

The square root of 1285628553 is about 35855.6627745186. The cubic root of 1285628553 is about 1087.3562032621.

The spelling of 1285628553 in words is "one billion, two hundred eighty-five million, six hundred twenty-eight thousand, five hundred fifty-three".