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413513153461 is a prime number
BaseRepresentation
bin1100000010001110100…
…11011111101110110101
31110112100102221200200001
412001013103133232311
523233333331402321
6513544301551301
741606145544612
oct6010723375665
91415312850601
10413513153461
1114a408438621
1268184875531
132ccc011c135
141602ab49509
15ab52e10c91
hex60474dfbb5

413513153461 has 2 divisors, whose sum is σ = 413513153462. Its totient is φ = 413513153460.

The previous prime is 413513153369. The next prime is 413513153467. The reversal of 413513153461 is 164351315314.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 389508299236 + 24004854225 = 624106^2 + 154935^2 .

It is a cyclic number.

It is not a de Polignac number, because 413513153461 - 223 = 413504764853 is a prime.

It is a super-3 number, since 3×4135131534613 (a number of 36 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 413513153461.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (413513153467) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 206756576730 + 206756576731.

It is an arithmetic number, because the mean of its divisors is an integer number (206756576731).

Almost surely, 2413513153461 is an apocalyptic number.

It is an amenable number.

413513153461 is a deficient number, since it is larger than the sum of its proper divisors (1).

413513153461 is an equidigital number, since it uses as much as digits as its factorization.

413513153461 is an evil number, because the sum of its binary digits is even.

The product of its digits is 64800, while the sum is 37.

Adding to 413513153461 its reverse (164351315314), we get a palindrome (577864468775).

The spelling of 413513153461 in words is "four hundred thirteen billion, five hundred thirteen million, one hundred fifty-three thousand, four hundred sixty-one".