1001264441125 has 16 divisors (see below), whose sum is σ = 1345699411056. Its totient is φ = 739395278400.

The previous prime is 1001264441077. The next prime is 1001264441129. The reversal of 1001264441125 is 5211444621001.

It can be written as a sum of positive squares in 8 ways, for example, as 353100973729 + 648163467396 = 594223^2 + 805086^2 .

It is not a de Polignac number, because 1001264441125 - 2¹³ = 1001264432933 is a prime.

It is a super-2 number, since 2×1001264441125² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001264441129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 308079742 + ... + 308082991.

It is an arithmetic number, because the mean of its divisors is an integer number (84106213191).

Almost surely, 2^{1001264441125} is an apocalyptic number.

It is an amenable number.

1001264441125 is a deficient number, since it is larger than the sum of its proper divisors (344434969931).

1001264441125 is an equidigital number, since it uses as much as digits as its factorization.

1001264441125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 616162761 (or 616162751 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 31.

The spelling of 1001264441125 in words is "one trillion, one billion, two hundred sixty-four million, four hundred forty-one thousand, one hundred twenty-five".