1005532461 has 80 divisors (see below), whose sum is σ = 1624381440. Its totient is φ = 618658560.

The previous prime is 1005532433. The next prime is 1005532481. The reversal of 1005532461 is 1642355001.

1005532461 is a `hidden beast` number, since 100 + 553 + 2 + 4 + 6 + 1 = 666.

It is not a de Polignac number, because 1005532461 - 2⁶ = 1005532397 is a prime.

It is a super-2 number, since 2×1005532461² = 2022191060249433042, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005532481) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7339585 + ... + 7339721.

It is an arithmetic number, because the mean of its divisors is an integer number (20304768).

Almost surely, 2^1005532461 is an apocalyptic number.

It is an amenable number.

1005532461 is a deficient number, since it is larger than the sum of its proper divisors (618848979).

1005532461 is a wasteful number, since it uses less digits than its factorization.

1005532461 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 1005532461 is about 31710.1318351091. The cubic root of 1005532461 is about 1001.8407631785.

Adding to 1005532461 its reverse (1642355001), we get a palindrome (2647887462).

The spelling of 1005532461 in words is "one billion, five million, five hundred thirty-two thousand, four hundred sixty-one".