Search a number
-
+
2513057801 is a prime number
BaseRepresentation
bin1001010111001010…
…0011100000001001
320111010202120012212
42111302203200021
520121320322201
61053211314505
7116163432062
oct22562434011
96433676185
102513057801
11107a612581
125a174ba35
13310851a67
1419ba8d569
15ea959abb
hex95ca3809

2513057801 has 2 divisors, whose sum is σ = 2513057802. Its totient is φ = 2513057800.

The previous prime is 2513057783. The next prime is 2513057837. The reversal of 2513057801 is 1087503152.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2342076025 + 170981776 = 48395^2 + 13076^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2513057801 is a prime.

It is a super-2 number, since 2×25130578012 = 12630919022333911202, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2513057881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1256528900 + 1256528901.

It is an arithmetic number, because the mean of its divisors is an integer number (1256528901).

Almost surely, 22513057801 is an apocalyptic number.

It is an amenable number.

2513057801 is a deficient number, since it is larger than the sum of its proper divisors (1).

2513057801 is an equidigital number, since it uses as much as digits as its factorization.

2513057801 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8400, while the sum is 32.

The square root of 2513057801 is about 50130.4079476718. The cubic root of 2513057801 is about 1359.5676611988.

The spelling of 2513057801 in words is "two billion, five hundred thirteen million, fifty-seven thousand, eight hundred one".