Search a number
-
+
553303415140537 is a prime number
BaseRepresentation
bin111110111001110011111110…
…1100000110011000010111001
32200120002021211100010022212011
41331303213331200303002321
51040010310343233444122
65240440025130045521
7224354565300112435
oct17563477540630271
92616067740108764
10553303415140537
1115033272a290526
1252081aaa2798a1
131a99739913c879
149a8c05748b9c5
1543e7a591a9377
hex1f739fd8330b9

553303415140537 has 2 divisors, whose sum is σ = 553303415140538. Its totient is φ = 553303415140536.

The previous prime is 553303415140481. The next prime is 553303415140549. The reversal of 553303415140537 is 735041514303355.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 543372370501801 + 9931044638736 = 23310349^2 + 3151356^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-553303415140537 is a prime.

It is a super-2 number, since 2×5533034151405372 (a number of 30 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (553303415141537) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 276651707570268 + 276651707570269.

It is an arithmetic number, because the mean of its divisors is an integer number (276651707570269).

Almost surely, 2553303415140537 is an apocalyptic number.

It is an amenable number.

553303415140537 is a deficient number, since it is larger than the sum of its proper divisors (1).

553303415140537 is an equidigital number, since it uses as much as digits as its factorization.

553303415140537 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5670000, while the sum is 49.

The spelling of 553303415140537 in words is "five hundred fifty-three trillion, three hundred three billion, four hundred fifteen million, one hundred forty thousand, five hundred thirty-seven".