1001597952 has 66 divisors (see below), whose sum is σ = 2674307244. Its totient is φ = 333281280.

The previous prime is 1001597903. The next prime is 1001598001. The reversal of 1001597952 is 2597951001.

It is an interprime number because it is at equal distance from previous prime (1001597903) and next prime (1001598001).

It is a self number, because there is not a number n which added to its sum of digits gives 1001597952.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1753827 + ... + 1754397.

Almost surely, 2^1001597952 is an apocalyptic number.

1001597952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1001597952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1337153622).

1001597952 is an abundant number, since it is smaller than the sum of its proper divisors (1672709292).

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

1001597952 is an frugal number, since it uses more digits than its factorization.

1001597952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1165 (or 576 counting only the distinct ones).

The product of its (nonzero) digits is 28350, while the sum is 39.

The square root of 1001597952 is about 31648.0323558985. The cubic root of 1001597952 is about 1000.5323672015.

The spelling of 1001597952 in words is "one billion, one million, five hundred ninety-seven thousand, nine hundred fifty-two".