1038057552 has 480 divisors, whose sum is σ = 3816720000. Its totient is φ = 268240896.

The previous prime is 1038057509. The next prime is 1038057577. The reversal of 1038057552 is 2557508301.

1038057552 is a `hidden beast` number, since 1 + 0 + 3 + 80 + 575 + 5 + 2 = 666.

1038057552 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11663524 + ... + 11663612.

It is an arithmetic number, because the mean of its divisors is an integer number (7951500).

Almost surely, 2^1038057552 is an apocalyptic number.

1038057552 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 1038057552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1908360000).

1038057552 is an abundant number, since it is smaller than the sum of its proper divisors (2778662448).

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

1038057552 is a wasteful number, since it uses less digits than its factorization.

1038057552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 36.

The square root of 1038057552 is about 32218.9005399005. The cubic root of 1038057552 is about 1012.5282384443.

The spelling of 1038057552 in words is "one billion, thirty-eight million, fifty-seven thousand, five hundred fifty-two".