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2520589993 is a prime number
BaseRepresentation
bin1001011000111101…
…0010011010101001
320111122221020102221
42112033102122221
520130232334433
61054040554041
7116314442605
oct22617223251
96448836387
102520589993
111083897629
125a4182921
1331228b28c
1419ca90505
15eb44672d
hex963d26a9

2520589993 has 2 divisors, whose sum is σ = 2520589994. Its totient is φ = 2520589992.

The previous prime is 2520589991. The next prime is 2520590041. The reversal of 2520589993 is 3999850252.

2520589993 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2146283584 + 374306409 = 46328^2 + 19347^2 .

It is a cyclic number.

It is not a de Polignac number, because 2520589993 - 21 = 2520589991 is a prime.

Together with 2520589991, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 2520589993.

It is not a weakly prime, because it can be changed into another prime (2520589991) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1260294996 + 1260294997.

It is an arithmetic number, because the mean of its divisors is an integer number (1260294997).

Almost surely, 22520589993 is an apocalyptic number.

It is an amenable number.

2520589993 is a deficient number, since it is larger than the sum of its proper divisors (1).

2520589993 is an equidigital number, since it uses as much as digits as its factorization.

2520589993 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1749600, while the sum is 52.

The square root of 2520589993 is about 50205.4777190697. The cubic root of 2520589993 is about 1360.9246150815.

The spelling of 2520589993 in words is "two billion, five hundred twenty million, five hundred eighty-nine thousand, nine hundred ninety-three".