1575521952 has 96 divisors (see below), whose sum is σ = 4364539200. Its totient is φ = 496263168.

The previous prime is 1575521911. The next prime is 1575521953. The reversal of 1575521952 is 2591255751.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (1575521953) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 927568 + ... + 929264.

It is an arithmetic number, because the mean of its divisors is an integer number (45463950).

Almost surely, 2^1575521952 is an apocalyptic number.

1575521952 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 1575521952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2182269600).

1575521952 is an abundant number, since it is smaller than the sum of its proper divisors (2789017248).

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

1575521952 is a wasteful number, since it uses less digits than its factorization.

1575521952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2238 (or 2230 counting only the distinct ones).

The product of its digits is 157500, while the sum is 42.

The square root of 1575521952 is about 39692.8450983297. The cubic root of 1575521952 is about 1163.6118969228.

The spelling of 1575521952 in words is "one billion, five hundred seventy-five million, five hundred twenty-one thousand, nine hundred fifty-two".