1001254005 has 54 divisors (see below), whose sum is σ = 1788968454. Its totient is φ = 518039808.

The previous prime is 1001253991. The next prime is 1001254031. The reversal of 1001254005 is 5004521001.

It can be written as a sum of positive squares in 9 ways, for example, as 288524196 + 712729809 = 16986^2 + 26697^2 .

It is not a de Polignac number, because 1001254005 - 2⁶ = 1001253941 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 11250001 + ... + 11250089.

Almost surely, 2^1001254005 is an apocalyptic number.

1001254005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1001254005 is a deficient number, since it is larger than the sum of its proper divisors (787714449).

1001254005 is an frugal number, since it uses more digits than its factorization.

1001254005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 1001254005 is about 31642.5979495995. The cubic root of 1001254005 is about 1000.4178270629.

Adding to 1001254005 its reverse (5004521001), we get a palindrome (6005775006).

It can be divided in two parts, 100125 and 4005, that multiplied together give a square (401000625 = 20025²).

The spelling of 1001254005 in words is "one billion, one million, two hundred fifty-four thousand, five".