1053084582 has 48 divisors (see below), whose sum is σ = 2495565072. Its totient is φ = 318288960.

The previous prime is 1053084581. The next prime is 1053084583. The reversal of 1053084582 is 2854803501.

It is a happy number.

1053084582 is a `hidden beast` number, since 1 + 0 + 530 + 8 + 45 + 82 = 666.

It is an interprime number because it is at equal distance from previous prime (1053084581) and next prime (1053084583).

It is a super-2 number, since 2×1053084582² = 2217974273692229448, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1053084581) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 71908 + ... + 85304.

It is an arithmetic number, because the mean of its divisors is an integer number (51990939).

Almost surely, 2^1053084582 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1053084582, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1247782536).

1053084582 is an abundant number, since it is smaller than the sum of its proper divisors (1442480490).

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

1053084582 is a wasteful number, since it uses less digits than its factorization.

1053084582 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13813 (or 13810 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 1053084582 is about 32451.2647211168. The cubic root of 1053084582 is about 1017.3906720084.

The spelling of 1053084582 in words is "one billion, fifty-three million, eighty-four thousand, five hundred eighty-two".