Search a number
-
+
7835052601 is a prime number
BaseRepresentation
bin1110100110000000…
…10110101000111001
3202020001000220121101
413103000112220321
5112021233140401
63333244211401
7365105563645
oct72300265071
922201026541
107835052601
113360756a92
121627b39b61
1397b30c7cc
1454480bc25
1530ccb7101
hex1d3016a39

7835052601 has 2 divisors, whose sum is σ = 7835052602. Its totient is φ = 7835052600.

The previous prime is 7835052571. The next prime is 7835052613. The reversal of 7835052601 is 1062505387.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6381613225 + 1453439376 = 79885^2 + 38124^2 .

It is an emirp because it is prime and its reverse (1062505387) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 7835052601 - 27 = 7835052473 is a prime.

It is a super-2 number, since 2×78350526012 (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (7835052691) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3917526300 + 3917526301.

It is an arithmetic number, because the mean of its divisors is an integer number (3917526301).

Almost surely, 27835052601 is an apocalyptic number.

It is an amenable number.

7835052601 is a deficient number, since it is larger than the sum of its proper divisors (1).

7835052601 is an equidigital number, since it uses as much as digits as its factorization.

7835052601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 50400, while the sum is 37.

The square root of 7835052601 is about 88515.8324877533. The cubic root of 7835052601 is about 1986.1588151909.

Adding to 7835052601 its reverse (1062505387), we get a palindrome (8897557988).

The spelling of 7835052601 in words is "seven billion, eight hundred thirty-five million, fifty-two thousand, six hundred one".