1331628552 has 64 divisors (see below), whose sum is σ = 3714984000. Its totient is φ = 441954432.

The previous prime is 1331628533. The next prime is 1331628553. The reversal of 1331628552 is 2558261331.

1331628552 is a `hidden beast` number, since 13 + 31 + 62 + 8 + 552 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1331628553) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37099 + ... + 63557.

It is an arithmetic number, because the mean of its divisors is an integer number (58046625).

Almost surely, 2^1331628552 is an apocalyptic number.

1331628552 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 1331628552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1857492000).

1331628552 is an abundant number, since it is smaller than the sum of its proper divisors (2383355448).

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

1331628552 is a wasteful number, since it uses less digits than its factorization.

1331628552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26707 (or 26697 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

The square root of 1331628552 is about 36491.4860207145. The cubic root of 1331628552 is about 1100.1731275712.

Adding to 1331628552 its reverse (2558261331), we get a palindrome (3889889883).

The spelling of 1331628552 in words is "one billion, three hundred thirty-one million, six hundred twenty-eight thousand, five hundred fifty-two".