1005540251 has 8 divisors (see below), whose sum is σ = 1034617584. Its totient is φ = 976721760.

The previous prime is 1005540223. The next prime is 1005540253. The reversal of 1005540251 is 1520455001.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1005540251 is a prime.

It is a super-2 number, since 2×1005540251² = 2022222392762286002, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1005540253) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 56816 + ... + 72381.

It is an arithmetic number, because the mean of its divisors is an integer number (129327198).

Almost surely, 2^1005540251 is an apocalyptic number.

1005540251 is a deficient number, since it is larger than the sum of its proper divisors (29077333).

1005540251 is a wasteful number, since it uses less digits than its factorization.

1005540251 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129421.

The product of its (nonzero) digits is 1000, while the sum is 23.

The square root of 1005540251 is about 31710.2546662748. The cubic root of 1005540251 is about 1001.8433503051.

Adding to 1005540251 its reverse (1520455001), we get a palindrome (2525995252).

The spelling of 1005540251 in words is "one billion, five million, five hundred forty thousand, two hundred fifty-one".