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1035314552257 is a prime number
BaseRepresentation
bin11110001000011011000…
…11100101110111000001
310122222022211222112222221
433010031203211313001
5113430311011133012
62111341131531041
7134541026331226
oct17041543456701
93588284875887
101035314552257
1136a09008a777
121487988b9a81
1376825713bcb
143817663394d
151bde6c2c507
hexf10d8e5dc1

1035314552257 has 2 divisors, whose sum is σ = 1035314552258. Its totient is φ = 1035314552256.

The previous prime is 1035314552197. The next prime is 1035314552269. The reversal of 1035314552257 is 7522554135301.

It is a happy number.

1035314552257 is digitally balanced in base 2, 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., 968824835521 + 66489716736 = 984289^2 + 257856^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1035314552257 is a prime.

It is a super-2 number, since 2×10353145522572 (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1035314552957) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 517657276128 + 517657276129.

It is an arithmetic number, because the mean of its divisors is an integer number (517657276129).

Almost surely, 21035314552257 is an apocalyptic number.

It is an amenable number.

1035314552257 is a deficient number, since it is larger than the sum of its proper divisors (1).

1035314552257 is an equidigital number, since it uses as much as digits as its factorization.

1035314552257 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 630000, while the sum is 43.

Adding to 1035314552257 its reverse (7522554135301), we get a palindrome (8557868687558).

The spelling of 1035314552257 in words is "one trillion, thirty-five billion, three hundred fourteen million, five hundred fifty-two thousand, two hundred fifty-seven".