Search a number
-
+
1035540713 is a prime number
BaseRepresentation
bin111101101110010…
…001100011101001
32200011112220210202
4331232101203221
54110044300323
6250431121545
734442644064
oct7556214351
92604486722
101035540713
11491599079
1224a9732b5
131367020ac
149b75d8db
1560da1d28
hex3db918e9

1035540713 has 2 divisors, whose sum is σ = 1035540714. Its totient is φ = 1035540712.

The previous prime is 1035540691. The next prime is 1035540761. The reversal of 1035540713 is 3170455301.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 868304089 + 167236624 = 29467^2 + 12932^2 .

It is a cyclic number.

It is not a de Polignac number, because 1035540713 - 210 = 1035539689 is a prime.

It is a super-3 number, since 3×10355407133 (a number of 28 digits) contains 333 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (1035540763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 517770356 + 517770357.

It is an arithmetic number, because the mean of its divisors is an integer number (517770357).

Almost surely, 21035540713 is an apocalyptic number.

It is an amenable number.

1035540713 is a deficient number, since it is larger than the sum of its proper divisors (1).

1035540713 is an equidigital number, since it uses as much as digits as its factorization.

1035540713 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6300, while the sum is 29.

The square root of 1035540713 is about 32179.8184115448. The cubic root of 1035540713 is about 1011.7092623682.

The spelling of 1035540713 in words is "one billion, thirty-five million, five hundred forty thousand, seven hundred thirteen".