2083145626971 has 24 divisors (see below), whose sum is σ = 3059522384880. Its totient is φ = 1365458212800.

The previous prime is 2083145626967. The next prime is 2083145627011. The reversal of 2083145626971 is 1796265413802.

It is a happy number.

2083145626971 is a `hidden beast` number, since 2 + 0 + 8 + 3 + 1 + 4 + 5 + 626 + 9 + 7 + 1 = 666.

It is not a de Polignac number, because 2083145626971 - 2² = 2083145626967 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2083145626921) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 646681 + ... + 2141141.

It is an arithmetic number, because the mean of its divisors is an integer number (127480099370).

It is a 1-persistent number, because it is pandigital, but 2⋅2083145626971 = 4166291253942 is not.

Almost surely, 2^{2083145626971} is an apocalyptic number.

2083145626971 is a deficient number, since it is larger than the sum of its proper divisors (976376757909).

2083145626971 is a wasteful number, since it uses less digits than its factorization.

2083145626971 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1497067 (or 1497064 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 2083145626971 in words is "two trillion, eighty-three billion, one hundred forty-five million, six hundred twenty-six thousand, nine hundred seventy-one".