10001005000057 has 4 divisors (see below), whose sum is σ = 10170513559440. Its totient is φ = 9831496440676.

The previous prime is 10001005000037. The next prime is 10001005000087. The reversal of 10001005000057 is 75000050010001.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 10001005000057 - 2⁷ = 10001004999929 is a prime.

It is a super-2 number, since 2×10001005000057² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10001004999998 and 10001005000043.

It is not an unprimeable number, because it can be changed into a prime (10001005000037) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 84754279603 + ... + 84754279720.

It is an arithmetic number, because the mean of its divisors is an integer number (2542628389860).

Almost surely, 2^{10001005000057} is an apocalyptic number.

It is an amenable number.

10001005000057 is a deficient number, since it is larger than the sum of its proper divisors (169508559383).

10001005000057 is an equidigital number, since it uses as much as digits as its factorization.

10001005000057 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169508559382.

The product of its (nonzero) digits is 175, while the sum is 19.

Adding to 10001005000057 its reverse (75000050010001), we get a palindrome (85001055010058).

The spelling of 10001005000057 in words is "ten trillion, one billion, five million, fifty-seven", and thus it is an aban number and an uban number.