1053353664 has 168 divisors, whose sum is σ = 3335072832. Its totient is φ = 315194880.

The previous prime is 1053353659. The next prime is 1053353683. The reversal of 1053353664 is 4663533501.

1053353664 is a `hidden beast` number, since 10 + 53 + 3 + 536 + 64 = 666.

1053353664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1053353664² = 2219107882924449792, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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 23 ways as a sum of consecutive naturals, for example, 524887 + ... + 526889.

It is an arithmetic number, because the mean of its divisors is an integer number (19851624).

Almost surely, 2^1053353664 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 1053353664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1667536416).

1053353664 is an abundant number, since it is smaller than the sum of its proper divisors (2281719168).

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

1053353664 is a wasteful number, since it uses less digits than its factorization.

1053353664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2115 (or 2102 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 36.

The square root of 1053353664 is about 32455.4103964193. The cubic root of 1053353664 is about 1017.4773184842.

The spelling of 1053353664 in words is "one billion, fifty-three million, three hundred fifty-three thousand, six hundred sixty-four".