1005124561 has 4 divisors (see below), whose sum is σ = 1148713792. Its totient is φ = 861535332.

The previous prime is 1005124459. The next prime is 1005124577. The reversal of 1005124561 is 1654215001.

It is a happy number.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is not a de Polignac number, because 1005124561 - 2⁷ = 1005124433 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1005124261) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 71794605 + ... + 71794618.

It is an arithmetic number, because the mean of its divisors is an integer number (287178448).

Almost surely, 2^1005124561 is an apocalyptic number.

It is an amenable number.

1005124561 is a deficient number, since it is larger than the sum of its proper divisors (143589231).

1005124561 is an equidigital number, since it uses as much as digits as its factorization.

1005124561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143589230.

The product of its (nonzero) digits is 1200, while the sum is 25.

The square root of 1005124561 is about 31703.6994844450. The cubic root of 1005124561 is about 1001.7052773761.

Adding to 1005124561 its reverse (1654215001), we get a palindrome (2659339562).

The spelling of 1005124561 in words is "one billion, five million, one hundred twenty-four thousand, five hundred sixty-one".