Search a number
-
+
9952952257 is a prime number
BaseRepresentation
bin10010100010011110…
…11111111111000001
3221200122020100202101
421101033133333001
5130340423433012
64323342150401
7501433461343
oct112117377701
927618210671
109952952257
114248200386
121b19282401
13c28026a81
146a5bd7293
153d3bb7d57
hex2513dffc1

9952952257 has 2 divisors, whose sum is σ = 9952952258. Its totient is φ = 9952952256.

The previous prime is 9952952249. The next prime is 9952952299. The reversal of 9952952257 is 7522592599.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7654325121 + 2298627136 = 87489^2 + 47944^2 .

It is a cyclic number.

It is not a de Polignac number, because 9952952257 - 23 = 9952952249 is a prime.

It is a super-2 number, since 2×99529522572 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 9952952198 and 9952952207.

It is not a weakly prime, because it can be changed into another prime (9952950257) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4976476128 + 4976476129.

It is an arithmetic number, because the mean of its divisors is an integer number (4976476129).

Almost surely, 29952952257 is an apocalyptic number.

It is an amenable number.

9952952257 is a deficient number, since it is larger than the sum of its proper divisors (1).

9952952257 is an equidigital number, since it uses as much as digits as its factorization.

9952952257 is an evil number, because the sum of its binary digits is even.

The product of its digits is 5103000, while the sum is 55.

The square root of 9952952257 is about 99764.4839459414. The cubic root of 9952952257 is about 2151.0506677964.

The spelling of 9952952257 in words is "nine billion, nine hundred fifty-two million, nine hundred fifty-two thousand, two hundred fifty-seven".