1001036268324 has 135 divisors (see below), whose sum is σ = 2693212766517. Its totient is φ = 313506312192.

The previous prime is 1001036268293. The next prime is 1001036268347. The reversal of 1001036268324 is 4238626301001.

The square root of 1001036268324 is 1000518.

It is a perfect power (a square), and thus also a powerful number.

1001036268324 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 0 + 3 + 626 + 8 + 3 + 24 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 236516868900 + 764519399424 = 486330^2 + 874368^2 .

It is a super-2 number, since 2×1001036268324² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1734897924 + ... + 1734898500.

Almost surely, 2^{1001036268324} is an apocalyptic number.

1001036268324 is the 1000518-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1001036268324

1001036268324 is an abundant number, since it is smaller than the sum of its proper divisors (1692176498193).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1001036268324 is an frugal number, since it uses more digits than its factorization.

1001036268324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1232 (or 599 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

Multiplying 1001036268324 by its sum of digits (36), we get a square (36037305659664 = 6003108²).

1001036268324 divided by its sum of digits (36) gives a square (27806563009 = 166753²).

The spelling of 1001036268324 in words is "one trillion, one billion, thirty-six million, two hundred sixty-eight thousand, three hundred twenty-four".