1053365904 has 80 divisors (see below), whose sum is σ = 3038992000. Its totient is φ = 349329024.

The previous prime is 1053365899. The next prime is 1053365921. The reversal of 1053365904 is 4095633501.

1053365904 is a `hidden beast` number, since 10 + 53 + 3 + 6 + 590 + 4 = 666.

It is a super-2 number, since 2×1053365904² = 2219159455419474432, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79842 + ... + 92094.

It is an arithmetic number, because the mean of its divisors is an integer number (37987400).

Almost surely, 2^1053365904 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 1053365904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1519496000).

1053365904 is an abundant number, since it is smaller than the sum of its proper divisors (1985626096).

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

1053365904 is a wasteful number, since it uses less digits than its factorization.

1053365904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12469 (or 12457 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

The square root of 1053365904 is about 32455.5989622746. The cubic root of 1053365904 is about 1017.4812595075.

The spelling of 1053365904 in words is "one billion, fifty-three million, three hundred sixty-five thousand, nine hundred four".