1053353268900 has 81 divisors (see below), whose sum is σ = 3301773813793. Its totient is φ = 280885994400.

The previous prime is 1053353268883. The next prime is 1053353268923. The reversal of 1053353268900 is 98623533501.

It is a happy number.

The square root of 1053353268900 is 1026330.

It is a perfect power (a square), and thus also a powerful number.

1053353268900 is a `hidden beast` number, since 1 + 0 + 5 + 33 + 532 + 6 + 89 + 0 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 379207176804 + 674146092096 = 615798^2 + 821064^2 .

It is a super-2 number, since 2×1053353268900² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 30772795 + ... + 30807005.

Almost surely, 2^{1053353268900} is an apocalyptic number.

1053353268900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1053353268900 is the 1026330-th square number.

It is an amenable number.

1053353268900 is an abundant number, since it is smaller than the sum of its proper divisors (2248420544893).

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

1053353268900 is an frugal number, since it uses more digits than its factorization.

1053353268900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68442 (or 34221 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The spelling of 1053353268900 in words is "one trillion, fifty-three billion, three hundred fifty-three million, two hundred sixty-eight thousand, nine hundred".