1005253121 has 4 divisors (see below), whose sum is σ = 1058161200. Its totient is φ = 952345044.

The previous prime is 1005253087. The next prime is 1005253141. The reversal of 1005253121 is 1213525001.

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 a cyclic number.

It is not a de Polignac number, because 1005253121 - 2¹⁸ = 1004990977 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1005253093 and 1005253102.

It is not an unprimeable number, because it can be changed into a prime (1005253141) 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, 26454011 + ... + 26454048.

It is an arithmetic number, because the mean of its divisors is an integer number (264540300).

Almost surely, 2^1005253121 is an apocalyptic number.

It is an amenable number.

1005253121 is a deficient number, since it is larger than the sum of its proper divisors (52908079).

1005253121 is an equidigital number, since it uses as much as digits as its factorization.

1005253121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52908078.

The product of its (nonzero) digits is 300, while the sum is 20.

The square root of 1005253121 is about 31705.7269432511. The cubic root of 1005253121 is about 1001.7479831081.

Adding to 1005253121 its reverse (1213525001), we get a palindrome (2218778122).

The spelling of 1005253121 in words is "one billion, five million, two hundred fifty-three thousand, one hundred twenty-one".