1001142560 has 48 divisors (see below), whose sum is σ = 2580221952. Its totient is φ = 364051200.

The previous prime is 1001142557. The next prime is 1001142673. The reversal of 1001142560 is 652411001.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 282656 + ... + 286175.

It is an arithmetic number, because the mean of its divisors is an integer number (53754624).

Almost surely, 2^1001142560 is an apocalyptic number.

1001142560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001142560 is an abundant number, since it is smaller than the sum of its proper divisors (1579079392).

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

1001142560 is a wasteful number, since it uses less digits than its factorization.

1001142560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 568857 (or 568849 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

The square root of 1001142560 is about 31640.8369042287. The cubic root of 1001142560 is about 1000.3807083761.

Adding to 1001142560 its reverse (652411001), we get a palindrome (1653553561).

The spelling of 1001142560 in words is "one billion, one million, one hundred forty-two thousand, five hundred sixty".