Search a number
-
+
2590156801 is a prime number
BaseRepresentation
bin1001101001100010…
…1010100000000001
320200111211121011101
42122120222200001
520301040004201
61105004014401
7121120653361
oct23230524001
96614747141
102590156801
11110a092161
12603531401
1332380787b
141a7ddc9a1
151025d8d01
hex9a62a801

2590156801 has 2 divisors, whose sum is σ = 2590156802. Its totient is φ = 2590156800.

The previous prime is 2590156787. The next prime is 2590156813. The reversal of 2590156801 is 1086510952.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2230106176 + 360050625 = 47224^2 + 18975^2 .

It is a cyclic number.

It is not a de Polignac number, because 2590156801 - 211 = 2590154753 is a prime.

It is not a weakly prime, because it can be changed into another prime (2590156861) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1295078400 + 1295078401.

It is an arithmetic number, because the mean of its divisors is an integer number (1295078401).

Almost surely, 22590156801 is an apocalyptic number.

It is an amenable number.

2590156801 is a deficient number, since it is larger than the sum of its proper divisors (1).

2590156801 is an equidigital number, since it uses as much as digits as its factorization.

2590156801 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 21600, while the sum is 37.

The square root of 2590156801 is about 50893.5831023912. The cubic root of 2590156801 is about 1373.3314064224.

The spelling of 2590156801 in words is "two billion, five hundred ninety million, one hundred fifty-six thousand, eight hundred one".