2623005377 has 2 divisors, whose sum is σ = 2623005378. Its totient is φ = 2623005376.

The previous prime is 2623005349. The next prime is 2623005397. The reversal of 2623005377 is 7735003262.

2623005377 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1751338801 + 871666576 = 41849^2 + 29524^2 .

It is a cyclic number.

It is not a de Polignac number, because 2623005377 - 2¹⁴ = 2622988993 is a prime.

It is not a weakly prime, because it can be changed into another prime (2623005397) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1311502688 + 1311502689.

It is an arithmetic number, because the mean of its divisors is an integer number (1311502689).

Almost surely, 2^2623005377 is an apocalyptic number.

It is an amenable number.

2623005377 is a deficient number, since it is larger than the sum of its proper divisors (1).

2623005377 is an equidigital number, since it uses as much as digits as its factorization.

2623005377 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 52920, while the sum is 35.

The square root of 2623005377 is about 51215.2846033291. The cubic root of 2623005377 is about 1379.1126019658.

The spelling of 2623005377 in words is "two billion, six hundred twenty-three million, five thousand, three hundred seventy-seven".