1057200006 has 64 divisors (see below), whose sum is σ = 2252630016. Its totient is φ = 330220800.

The previous prime is 1057199989. The next prime is 1057200043. The reversal of 1057200006 is 6000027501.

It is a super-2 number, since 2×1057200006² = 2235343705372800072, which 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 31 ways as a sum of consecutive naturals, for example, 1196841 + ... + 1197723.

It is an arithmetic number, because the mean of its divisors is an integer number (35197344).

Almost surely, 2^1057200006 is an apocalyptic number.

1057200006 is an abundant number, since it is smaller than the sum of its proper divisors (1195430010).

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

1057200006 is a wasteful number, since it uses less digits than its factorization.

1057200006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1117.

The product of its (nonzero) digits is 420, while the sum is 21.

The square root of 1057200006 is about 32514.6121920591. The cubic root of 1057200006 is about 1018.7142603995.

Adding to 1057200006 its reverse (6000027501), we get a palindrome (7057227507).

The spelling of 1057200006 in words is "one billion, fifty-seven million, two hundred thousand, six".