1012242561 has 24 divisors (see below), whose sum is σ = 1497175680. Its totient is φ = 607828320.

The previous prime is 1012242541. The next prime is 1012242617. The reversal of 1012242561 is 1652422101.

It is not a de Polignac number, because 1012242561 - 2⁵ = 1012242529 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1012242521) 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 23 ways as a sum of consecutive naturals, for example, 26776 + ... + 52358.

It is an arithmetic number, because the mean of its divisors is an integer number (62382320).

Almost surely, 2^1012242561 is an apocalyptic number.

1012242561 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1012242561 is a deficient number, since it is larger than the sum of its proper divisors (484933119).

1012242561 is a wasteful number, since it uses less digits than its factorization.

1012242561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25717 (or 25706 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 1012242561 is about 31815.7596326097. The cubic root of 1012242561 is about 1004.0643126504.

Adding to 1012242561 its reverse (1652422101), we get a palindrome (2664664662).

The spelling of 1012242561 in words is "one billion, twelve million, two hundred forty-two thousand, five hundred sixty-one".