1001315523 has 64 divisors (see below), whose sum is σ = 1557480960. Its totient is φ = 567088128.

The previous prime is 1001315519. The next prime is 1001315563. The reversal of 1001315523 is 3255131001.

It is not a de Polignac number, because 1001315523 - 2² = 1001315519 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1001315523.

It is not an unprimeable number, because it can be changed into a prime (1001315503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5787865 + ... + 5788037.

It is an arithmetic number, because the mean of its divisors is an integer number (24335640).

Almost surely, 2^1001315523 is an apocalyptic number.

1001315523 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

1001315523 is a deficient number, since it is larger than the sum of its proper divisors (556165437).

1001315523 is a wasteful number, since it uses less digits than its factorization.

1001315523 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388.

The product of its (nonzero) digits is 450, while the sum is 21.

The square root of 1001315523 is about 31643.5700103512. The cubic root of 1001315523 is about 1000.4383155181.

Adding to 1001315523 its reverse (3255131001), we get a palindrome (4256446524).

The spelling of 1001315523 in words is "one billion, one million, three hundred fifteen thousand, five hundred twenty-three".