1029255552 has 256 divisors, whose sum is σ = 3381504000. Its totient is φ = 306063360.

The previous prime is 1029255551. The next prime is 1029255581. The reversal of 1029255552 is 2555529201.

1029255552 is a `hidden beast` number, since 10 + 2 + 92 + 5 + 5 + 552 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1029255551) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1392399 + ... + 1393137.

It is an arithmetic number, because the mean of its divisors is an integer number (13209000).

Almost surely, 2^1029255552 is an apocalyptic number.

1029255552 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 1029255552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1690752000).

1029255552 is an abundant number, since it is smaller than the sum of its proper divisors (2352248448).

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

1029255552 is a wasteful number, since it uses less digits than its factorization.

1029255552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 806 (or 788 counting only the distinct ones).

The product of its (nonzero) digits is 45000, while the sum is 36.

The square root of 1029255552 is about 32082.0129044298. The cubic root of 1029255552 is about 1009.6582682072.

The spelling of 1029255552 in words is "one billion, twenty-nine million, two hundred fifty-five thousand, five hundred fifty-two".