1001251664 has 40 divisors (see below), whose sum is σ = 2333749440. Its totient is φ = 406522368.

The previous prime is 1001251649. The next prime is 1001251681. The reversal of 1001251664 is 4661521001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 233129 + ... + 237384.

It is an arithmetic number, because the mean of its divisors is an integer number (58343736).

Almost surely, 2^1001251664 is an apocalyptic number.

1001251664 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1001251664 is an abundant number, since it is smaller than the sum of its proper divisors (1332497776).

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

1001251664 is a wasteful number, since it uses less digits than its factorization.

1001251664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470547 (or 470541 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 26.

The square root of 1001251664 is about 31642.5609583042. The cubic root of 1001251664 is about 1000.4170473806.

Adding to 1001251664 its reverse (4661521001), we get a palindrome (5662772665).

The spelling of 1001251664 in words is "one billion, one million, two hundred fifty-one thousand, six hundred sixty-four".