1597721280100 has 81 divisors (see below), whose sum is σ = 3811227031353. Its totient is φ = 580938996000.

The previous prime is 1597721280097. The next prime is 1597721280101. The reversal of 1597721280100 is 10821277951.

The square root of 1597721280100 is 1264010.

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., 575179660836 + 1022541619264 = 758406^2 + 1011208^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1597721280101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 139035355 + ... + 139046845.

Almost surely, 2^{1597721280100} is an apocalyptic number.

1597721280100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1597721280100 is the 1264010-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1597721280100

1597721280100 is an abundant number, since it is smaller than the sum of its proper divisors (2213505751253).

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

1597721280100 is an equidigital number, since it uses as much as digits as its factorization.

1597721280100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23018 (or 11509 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 43.

The spelling of 1597721280100 in words is "one trillion, five hundred ninety-seven billion, seven hundred twenty-one million, two hundred eighty thousand, one hundred".