1284527552 has 168 divisors, whose sum is σ = 3377427840. Its totient is φ = 478410240.

The previous prime is 1284527533. The next prime is 1284527561. The reversal of 1284527552 is 2557254821.

It is a super-2 number, since 2×1284527552² = 3300022063694225408, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 792599 + ... + 794217.

Almost surely, 2^1284527552 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1284527552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1688713920).

1284527552 is an abundant number, since it is smaller than the sum of its proper divisors (2092900288).

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

1284527552 is a wasteful number, since it uses less digits than its factorization.

1284527552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1679 (or 1662 counting only the distinct ones).

The product of its digits is 224000, while the sum is 41.

The square root of 1284527552 is about 35840.3062486916. The cubic root of 1284527552 is about 1087.0457138447.

The spelling of 1284527552 in words is "one billion, two hundred eighty-four million, five hundred twenty-seven thousand, five hundred fifty-two".