1501973952 has 112 divisors (see below), whose sum is σ = 4038478080. Its totient is φ = 492613632.

The previous prime is 1501973947. The next prime is 1501973983. The reversal of 1501973952 is 2593791051.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 4456728 + ... + 4457064.

It is an arithmetic number, because the mean of its divisors is an integer number (36057840).

Almost surely, 2^1501973952 is an apocalyptic number.

1501973952 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 1501973952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2019239040).

1501973952 is an abundant number, since it is smaller than the sum of its proper divisors (2536504128).

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

1501973952 is a wasteful number, since it uses less digits than its factorization.

1501973952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 658 (or 648 counting only the distinct ones).

The product of its (nonzero) digits is 85050, while the sum is 42.

The square root of 1501973952 is about 38755.3086944228. The cubic root of 1501973952 is about 1145.2161582201.

The spelling of 1501973952 in words is "one billion, five hundred one million, nine hundred seventy-three thousand, nine hundred fifty-two".