1012542048 has 144 divisors (see below), whose sum is σ = 3301343136. Its totient is φ = 288368640.

The previous prime is 1012542031. The next prime is 1012542061. The reversal of 1012542048 is 8402452101.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 848140 + ... + 849332.

It is an arithmetic number, because the mean of its divisors is an integer number (22925994).

Almost surely, 2^1012542048 is an apocalyptic number.

1012542048 is a gapful number since it is divisible by the number (18) 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 1012542048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1650671568).

1012542048 is an abundant number, since it is smaller than the sum of its proper divisors (2288801088).

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

1012542048 is a wasteful number, since it uses less digits than its factorization.

1012542048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1637 (or 1626 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 1012542048 is about 31820.4658671114. The cubic root of 1012542048 is about 1004.1633253341.

Adding to 1012542048 its reverse (8402452101), we get a palindrome (9414994149).

The spelling of 1012542048 in words is "one billion, twelve million, five hundred forty-two thousand, forty-eight".