1689311052 has 360 divisors, whose sum is σ = 5529907152. Its totient is φ = 443232000.

The previous prime is 1689311021. The next prime is 1689311053. The reversal of 1689311052 is 2501139861.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1689310998 and 1689311016.

It is not an unprimeable number, because it can be changed into a prime (1689311053) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 16725802 + ... + 16725902.

Almost surely, 2^1689311052 is an apocalyptic number.

1689311052 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1689311052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2764953576).

1689311052 is an abundant number, since it is smaller than the sum of its proper divisors (3840596100).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1689311052 is a wasteful number, since it uses less digits than its factorization.

1689311052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 1689311052 is about 41101.2293246808. The cubic root of 1689311052 is about 1190.9765427557.

The spelling of 1689311052 in words is "one billion, six hundred eighty-nine million, three hundred eleven thousand, fifty-two".