1053406450321 has 32 divisors (see below), whose sum is σ = 1126330544160. Its totient is φ = 981764837376.

The previous prime is 1053406450279. The next prime is 1053406450339. The reversal of 1053406450321 is 1230546043501.

It can be written as a sum of positive squares in 16 ways, for example, as 456348887296 + 597057563025 = 675536^2 + 772695^2 .

It is a cyclic number.

It is not a de Polignac number, because 1053406450321 - 2²³ = 1053398061713 is a prime.

It is a super-2 number, since 2×1053406450321² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1053406450351) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 705562851 + ... + 705564343.

It is an arithmetic number, because the mean of its divisors is an integer number (35197829505).

Almost surely, 2^{1053406450321} is an apocalyptic number.

It is an amenable number.

1053406450321 is a deficient number, since it is larger than the sum of its proper divisors (72924093839).

1053406450321 is a wasteful number, since it uses less digits than its factorization.

1053406450321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2613.

The product of its (nonzero) digits is 43200, while the sum is 34.

The spelling of 1053406450321 in words is "one trillion, fifty-three billion, four hundred six million, four hundred fifty thousand, three hundred twenty-one".