1005671552 has 24 divisors (see below), whose sum is σ = 2004201315. Its totient is φ = 502656384.

The previous prime is 1005671519. The next prime is 1005671603. The reversal of 1005671552 is 2551765001.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 502835776 + 502835776 = 22424^2 + 22424^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=22424.

It is a super-2 number, since 2×1005671552² = 2022750541004177408, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 357383 + ... + 360185.

Almost surely, 2^1005671552 is an apocalyptic number.

It is an amenable number.

1005671552 is a deficient number, since it is larger than the sum of its proper divisors (998529763).

1005671552 is an frugal number, since it uses more digits than its factorization.

1005671552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5620 (or 2805 counting only the distinct ones).

The product of its (nonzero) digits is 10500, while the sum is 32.

The square root of 1005671552 is about 31712.3249226543. The cubic root of 1005671552 is about 1001.8869544965.

Multiplying 1005671552 by its sum of digits (32), we get a square (32181489664 = 179392²).

1005671552 divided by its sum of digits (32) gives a square (31427236 = 5606²).

The spelling of 1005671552 in words is "one billion, five million, six hundred seventy-one thousand, five hundred fifty-two".