2552620128167 has 8 divisors (see below), whose sum is σ = 2574500106576. Its totient is φ = 2530811305152.

The previous prime is 2552620128151. The next prime is 2552620128187. The reversal of 2552620128167 is 7618210262552.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2552620128167 - 2⁴ = 2552620128151 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2552620128187) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17716793 + ... + 17860290.

It is an arithmetic number, because the mean of its divisors is an integer number (321812513322).

Almost surely, 2^{2552620128167} is an apocalyptic number.

2552620128167 is a deficient number, since it is larger than the sum of its proper divisors (21879978409).

2552620128167 is a wasteful number, since it uses less digits than its factorization.

2552620128167 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35577697.

The product of its (nonzero) digits is 806400, while the sum is 47.

The spelling of 2552620128167 in words is "two trillion, five hundred fifty-two billion, six hundred twenty million, one hundred twenty-eight thousand, one hundred sixty-seven".