1057217045300 has 72 divisors (see below), whose sum is σ = 2471217753816. Its totient is φ = 390264975360.

The previous prime is 1057217045273. The next prime is 1057217045321. The reversal of 1057217045300 is 35407127501.

It can be written as a sum of positive squares in 12 ways, for example, as 589618193956 + 467598851344 = 767866^2 + 683812^2 .

It is a super-2 number, since 2×1057217045300² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

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, 5544344 + ... + 5731856.

It is an arithmetic number, because the mean of its divisors is an integer number (34322468803).

Almost surely, 2^{1057217045300} is an apocalyptic number.

1057217045300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1057217045300 is an abundant number, since it is smaller than the sum of its proper divisors (1414000708516).

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

1057217045300 is a wasteful number, since it uses less digits than its factorization.

1057217045300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191877 (or 191870 counting only the distinct ones).

The product of its (nonzero) digits is 29400, while the sum is 35.

The spelling of 1057217045300 in words is "one trillion, fifty-seven billion, two hundred seventeen million, forty-five thousand, three hundred".