1288532052 has 36 divisors (see below), whose sum is σ = 3301747540. Its totient is φ = 423626112.

The previous prime is 1288532033. The next prime is 1288532053. The reversal of 1288532052 is 2502358821.

1288532052 is a `hidden beast` number, since 1 + 288 + 5 + 320 + 52 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 864007236 + 424524816 = 29394^2 + 20604^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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 = 1288531998 and 1288532016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1288532053) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 242527 + ... + 247782.

Almost surely, 2^1288532052 is an apocalyptic number.

1288532052 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1288532052 is an abundant number, since it is smaller than the sum of its proper divisors (2013215488).

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

1288532052 is a wasteful number, since it uses less digits than its factorization.

1288532052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 490392 (or 490387 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 1288532052 is about 35896.1286492012. The cubic root of 1288532052 is about 1088.1741595572.

The spelling of 1288532052 in words is "one billion, two hundred eighty-eight million, five hundred thirty-two thousand, fifty-two".