6453581352100 has 27 divisors (see below), whose sum is σ = 14004326660737. Its totient is φ = 2581422379280.

The previous prime is 6453581352017. The next prime is 6453581352107. The reversal of 6453581352100 is 12531853546.

The square root of 6453581352100 is 2540390.

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

It can be written as a sum of positive squares in only one way, i.e., 2323289286756 + 4130292065344 = 1524234^2 + 2032312^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (6453581352107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 25276881 + ... + 25530919.

Almost surely, 2^{6453581352100} is an apocalyptic number.

6453581352100 is the 2540390-th square number.

It is an amenable number.

6453581352100 is an abundant number, since it is smaller than the sum of its proper divisors (7550745308637).

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

6453581352100 is an frugal number, since it uses more digits than its factorization.

6453581352100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508092 (or 254046 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 43.

The spelling of 6453581352100 in words is "six trillion, four hundred fifty-three billion, five hundred eighty-one million, three hundred fifty-two thousand, one hundred".