1045553256 has 144 divisors (see below), whose sum is σ = 3186062880. Its totient is φ = 309355200.

The previous prime is 1045553239. The next prime is 1045553279. The reversal of 1045553256 is 6523555401.

1045553256 is a `hidden beast` number, since 10 + 45 + 553 + 2 + 56 = 666.

It is a super-2 number, since 2×1045553256² = 2186363222264403072, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1045553256.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 373221 + ... + 376011.

Almost surely, 2^1045553256 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1045553256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1593031440).

1045553256 is an abundant number, since it is smaller than the sum of its proper divisors (2140509624).

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

1045553256 is a wasteful number, since it uses less digits than its factorization.

1045553256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2868 (or 2850 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 36.

The square root of 1045553256 is about 32335.0159424733. The cubic root of 1045553256 is about 1014.9595156428.

The spelling of 1045553256 in words is "one billion, forty-five million, five hundred fifty-three thousand, two hundred fifty-six".