1001005042375 has 64 divisors (see below), whose sum is σ = 1383874652160. Its totient is φ = 718263504000.

The previous prime is 1001005042357. The next prime is 1001005042379. The reversal of 1001005042375 is 5732405001001.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2^k-1001005042375 is a prime.

It is a super-2 number, since 2×1001005042375² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001005042379) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10568980 + ... + 10663270.

It is an arithmetic number, because the mean of its divisors is an integer number (21623041440).

Almost surely, 2^{1001005042375} is an apocalyptic number.

1001005042375 is a deficient number, since it is larger than the sum of its proper divisors (382869609785).

1001005042375 is a wasteful number, since it uses less digits than its factorization.

1001005042375 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94505 (or 94495 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 28.

The spelling of 1001005042375 in words is "one trillion, one billion, five million, forty-two thousand, three hundred seventy-five".