2583730072161 has 24 divisors (see below), whose sum is σ = 4270556856384. Its totient is φ = 1474564687200.

The previous prime is 2583730072081. The next prime is 2583730072213. The reversal of 2583730072161 is 1612700373852.

2583730072161 is a `hidden beast` number, since 2 + 58 + 373 + 0 + 0 + 72 + 161 = 666.

It is not a de Polignac number, because 2583730072161 - 2¹⁸ = 2583729810017 is a prime.

It is a super-2 number, since 2×2583730072161² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2583730072961) 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, 25678515 + ... + 25778936.

It is an arithmetic number, because the mean of its divisors is an integer number (177939869016).

Almost surely, 2^{2583730072161} is an apocalyptic number.

2583730072161 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2583730072161 is a deficient number, since it is larger than the sum of its proper divisors (1686826784223).

2583730072161 is a wasteful number, since it uses less digits than its factorization.

2583730072161 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51458261 (or 51458258 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 2583730072161 in words is "two trillion, five hundred eighty-three billion, seven hundred thirty million, seventy-two thousand, one hundred sixty-one".