1288829625 has 32 divisors (see below), whose sum is σ = 2164356480. Its totient is φ = 681048000.

The previous prime is 1288829623. The next prime is 1288829651. The reversal of 1288829625 is 5269288821.

It is not a de Polignac number, because 1288829625 - 2¹ = 1288829623 is a prime.

It is a super-2 number, since 2×1288829625² = 3322163604555281250, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1288829623) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25110 + ... + 56640.

It is an arithmetic number, because the mean of its divisors is an integer number (67636140).

Almost surely, 2^1288829625 is an apocalyptic number.

1288829625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1288829625 is a deficient number, since it is larger than the sum of its proper divisors (875526855).

1288829625 is a wasteful number, since it uses less digits than its factorization.

1288829625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31658 (or 31648 counting only the distinct ones).

The product of its digits is 1105920, while the sum is 51.

The square root of 1288829625 is about 35900.2733276503. The cubic root of 1288829625 is about 1088.2579205897.

The spelling of 1288829625 in words is "one billion, two hundred eighty-eight million, eight hundred twenty-nine thousand, six hundred twenty-five".