82038257001 has 8 divisors (see below), whose sum is σ = 121538158560. Its totient is φ = 54692171316.

The previous prime is 82038256969. The next prime is 82038257003. The reversal of 82038257001 is 10075283028.

82038257001 is a `hidden beast` number, since 8 + 2 + 0 + 3 + 82 + 570 + 0 + 1 = 666.

It is not a de Polignac number, because 82038257001 - 2⁵ = 82038256969 is a prime.

It is a super-2 number, since 2×82038257001² (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (82038257003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1519226955 + ... + 1519227008.

It is an arithmetic number, because the mean of its divisors is an integer number (15192269820).

Almost surely, 2^82038257001 is an apocalyptic number.

It is an amenable number.

82038257001 is a deficient number, since it is larger than the sum of its proper divisors (39499901559).

82038257001 is a wasteful number, since it uses less digits than its factorization.

82038257001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3038453972 (or 3038453966 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 82038257001 in words is "eighty-two billion, thirty-eight million, two hundred fifty-seven thousand, one".