671457392585001 has 80 divisors (see below), whose sum is σ = 1095155195479488. Its totient is φ = 406598773334400.

The previous prime is 671457392584981. The next prime is 671457392585003. The reversal of 671457392585001 is 100585293754176.

671457392585001 is a `hidden beast` number, since 6 + 7 + 1 + 4 + 5 + 73 + 9 + 2 + 58 + 500 + 1 = 666.

It is not a de Polignac number, because 671457392585001 - 2²⁶ = 671457325476137 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 671457392585001.

It is not an unprimeable number, because it can be changed into a prime (671457392585003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5113189995 + ... + 5113321311.

It is a 1-persistent number, because it is pandigital, but 2⋅671457392585001 = 1342914785170002 is not.

Almost surely, 2^{671457392585001} is an apocalyptic number.

It is an amenable number.

671457392585001 is a deficient number, since it is larger than the sum of its proper divisors (423697802894487).

671457392585001 is a wasteful number, since it uses less digits than its factorization.

671457392585001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136164 (or 136155 counting only the distinct ones).

The product of its (nonzero) digits is 63504000, while the sum is 63.

The spelling of 671457392585001 in words is "six hundred seventy-one trillion, four hundred fifty-seven billion, three hundred ninety-two million, five hundred eighty-five thousand, one".