75001055010057 has 48 divisors (see below), whose sum is σ = 119450304372672. Its totient is φ = 44968325160960.

The previous prime is 75001055010053. The next prime is 75001055010059.

75001055010057 is a `hidden beast` number, since 7 + 50 + 0 + 1 + 0 + 550 + 1 + 0 + 0 + 57 = 666.

75001055010057 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 75001055010057 - 2² = 75001055010053 is a prime.

It is a super-2 number, since 2×75001055010057² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (75001055010053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22107673 + ... + 25273529.

It is an arithmetic number, because the mean of its divisors is an integer number (2488548007764).

Almost surely, 2^{75001055010057} is an apocalyptic number.

It is an amenable number.

75001055010057 is a deficient number, since it is larger than the sum of its proper divisors (44449249362615).

75001055010057 is a wasteful number, since it uses less digits than its factorization.

75001055010057 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3168438 (or 3168435 counting only the distinct ones).

The product of its (nonzero) digits is 30625, while the sum is 36.

The spelling of 75001055010057 in words is "seventy-five trillion, one billion, fifty-five million, ten thousand, fifty-seven".