Search a number
-
+
9953912257 is a prime number
BaseRepresentation
bin10010100010100110…
…01010010111000001
3221200201001010121221
421101103022113001
5130341200143012
64323414515041
7501444600232
oct112123122701
927621033557
109953912257
1142487a6673
121b19665a81
13c282a1a13
146a5da7089
153d3d07507
hex2514ca5c1

9953912257 has 2 divisors, whose sum is σ = 9953912258. Its totient is φ = 9953912256.

The previous prime is 9953912209. The next prime is 9953912263. The reversal of 9953912257 is 7522193599.

9953912257 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9654241536 + 299670721 = 98256^2 + 17311^2 .

It is a cyclic number.

It is not a de Polignac number, because 9953912257 - 215 = 9953879489 is a prime.

It is not a weakly prime, because it can be changed into another prime (9953912057) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4976956128 + 4976956129.

It is an arithmetic number, because the mean of its divisors is an integer number (4976956129).

Almost surely, 29953912257 is an apocalyptic number.

It is an amenable number.

9953912257 is a deficient number, since it is larger than the sum of its proper divisors (1).

9953912257 is an equidigital number, since it uses as much as digits as its factorization.

9953912257 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1530900, while the sum is 52.

The square root of 9953912257 is about 99769.2951613872. The cubic root of 9953912257 is about 2151.1198245718.

The spelling of 9953912257 in words is "nine billion, nine hundred fifty-three million, nine hundred twelve thousand, two hundred fifty-seven".