1010006057 has 16 divisors (see below), whose sum is σ = 1100397312. Its totient is φ = 923155200.

The previous prime is 1010006051. The next prime is 1010006083. The reversal of 1010006057 is 7506000101.

1010006057 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 1010006057 - 2¹² = 1010001961 is a prime.

It is a super-2 number, since 2×1010006057² = 2040224470353374498, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1010006051) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 428432 + ... + 430782.

It is an arithmetic number, because the mean of its divisors is an integer number (68774832).

Almost surely, 2^1010006057 is an apocalyptic number.

1010006057 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

1010006057 is a deficient number, since it is larger than the sum of its proper divisors (90391255).

1010006057 is a wasteful number, since it uses less digits than its factorization.

1010006057 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3088.

The product of its (nonzero) digits is 210, while the sum is 20.

The square root of 1010006057 is about 31780.5924582913. The cubic root of 1010006057 is about 1003.3242891893.

Adding to 1010006057 its reverse (7506000101), we get a palindrome (8516006158).

The spelling of 1010006057 in words is "one billion, ten million, six thousand, fifty-seven".