Search a number
-
+
97251072433 is a prime number
BaseRepresentation
bin101101010010010011…
…1011001100110110001
3100022000121001100112121
41122210213121212301
53043132233304213
6112402043554241
710011654322264
oct1324447314661
9308017040477
1097251072433
1138275771139
1216a2122b981
13922b154a98
1449c7d32cdb
1527e2c3c88d
hex16a49d99b1

97251072433 has 2 divisors, whose sum is σ = 97251072434. Its totient is φ = 97251072432.

The previous prime is 97251072419. The next prime is 97251072553. The reversal of 97251072433 is 33427015279.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 65200047649 + 32051024784 = 255343^2 + 179028^2 .

It is a cyclic number.

It is not a de Polignac number, because 97251072433 - 225 = 97217518001 is a prime.

It is a super-2 number, since 2×972510724332 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 97251072433.

It is not a weakly prime, because it can be changed into another prime (97251022433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 48625536216 + 48625536217.

It is an arithmetic number, because the mean of its divisors is an integer number (48625536217).

Almost surely, 297251072433 is an apocalyptic number.

It is an amenable number.

97251072433 is a deficient number, since it is larger than the sum of its proper divisors (1).

97251072433 is an equidigital number, since it uses as much as digits as its factorization.

97251072433 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 317520, while the sum is 43.

The spelling of 97251072433 in words is "ninety-seven billion, two hundred fifty-one million, seventy-two thousand, four hundred thirty-three".