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2493600782501 is a prime number
BaseRepresentation
bin100100010010010110001…
…100000101100010100101
322211101102022210122002002
4210102112030011202211
5311323343300020001
65145313330455045
7345104515633553
oct44222614054245
98741368718062
102493600782501
118815916a7484
12343339a34485
131511b79b9cca
1488995c64bd3
1544ce6e1b46b
hex244963058a5

2493600782501 has 2 divisors, whose sum is σ = 2493600782502. Its totient is φ = 2493600782500.

The previous prime is 2493600782467. The next prime is 2493600782503. The reversal of 2493600782501 is 1052870063942.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1927835056225 + 565765726276 = 1388465^2 + 752174^2 .

It is a cyclic number.

It is not a de Polignac number, because 2493600782501 - 26 = 2493600782437 is a prime.

Together with 2493600782503, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2493600782503) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1246800391250 + 1246800391251.

It is an arithmetic number, because the mean of its divisors is an integer number (1246800391251).

It is a 1-persistent number, because it is pandigital, but 2⋅2493600782501 = 4987201565002 is not.

Almost surely, 22493600782501 is an apocalyptic number.

It is an amenable number.

2493600782501 is a deficient number, since it is larger than the sum of its proper divisors (1).

2493600782501 is an equidigital number, since it uses as much as digits as its factorization.

2493600782501 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 725760, while the sum is 47.

The spelling of 2493600782501 in words is "two trillion, four hundred ninety-three billion, six hundred million, seven hundred eighty-two thousand, five hundred one".