627258023681 has 8 divisors (see below), whose sum is σ = 637737129384. Its totient is φ = 616785246720.

The previous prime is 627258023669. The next prime is 627258023687. The reversal of 627258023681 is 186320852726.

627258023681 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 12562823056 + 614695200625 = 112084^2 + 784025^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-627258023681 is a prime.

It is a super-2 number, since 2×627258023681² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (627258023687) 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, 1382096 + ... + 1778961.

It is an arithmetic number, because the mean of its divisors is an integer number (79717141173).

Almost surely, 2^627258023681 is an apocalyptic number.

627258023681 is a gapful number since it is divisible by the number (61) formed by its first and last digit.

It is an amenable number.

627258023681 is a deficient number, since it is larger than the sum of its proper divisors (10479105703).

627258023681 is a wasteful number, since it uses less digits than its factorization.

627258023681 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3164371.

The product of its (nonzero) digits is 1935360, while the sum is 50.

The spelling of 627258023681 in words is "six hundred twenty-seven billion, two hundred fifty-eight million, twenty-three thousand, six hundred eighty-one".